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Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5

Document Description: Chapter Notes: Fractions for Class 5 2022 is part of Mathematics for Class 5 preparation. The notes and questions for Chapter Notes: Fractions have been prepared according to the Class 5 exam syllabus. Information about Chapter Notes: Fractions covers topics like What is a Fraction?, Equivalent Fractions, Writing a Fraction in its Simplest Form, Comparing Fractions, Ordering Fractions, Addition and Subtraction of Fractions, Addition of Mixed Fractions, Subtraction of Mixed Fractions, Subtracting from Whole Numbers, Properties of Addition of Fractions and Chapter Notes: Fractions Example, for Class 5 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Chapter Notes: Fractions.

Introduction of Chapter Notes: Fractions in English is available as part of our Mathematics for Class 5 for Class 5 & Chapter Notes: Fractions in Hindi for Mathematics for Class 5 course. Download more important topics related with notes, lectures and mock test series for Class 5 Exam by signing up for free. Class 5: Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Table of contents
What is a Fraction?
Equivalent Fractions
Writing a Fraction in its Simplest Form
Comparing Fractions
Ordering Fractions
Addition and Subtraction of Fractions
Addition of Mixed Fractions
Subtraction of Mixed Fractions
Subtracting from Whole Numbers
Properties of Addition of Fractions
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What is a Fraction?

A fraction is a part of a whole. If a whole is divided into equal parts, each part is called a fraction. It is made up of two parts.
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5

Fractions can be used to

  • name a part of a single thing.
    Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5Here, 1 part out of 4 equal parts is red, we write it as 1 / 4.Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 51 / 4 of the cake has been taken by Neha.
  • name a part of a group of things.
    Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5In this aquarium, you have 7 fish, out of which 2 are starfish. So, we write 2 / 7 are starfish.

Representation of a Fraction on a Number Line

The fraction 3 / 8 is shown on the number line as:
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 53 / 8 < 1, so we draw the number line from 0 to 1 and divide it into 8 equal parts. (∵  denominator = 8). The arrow shows the fraction 3 / 8.


Types of Fractions

  1. Proper Fractions
    The fractions in which the numerator is less than the denominator are called proper fractions.
    For example, 0 / 2, 1 / 4, 2 / 5, 3 / 7, 81 / 100, etc., are all proper fractions. All proper fractions are less than 1.
  2. Improper Fractions
    The fractions in which the numerator is greater than or equal to the denominator are called improper fractions.
    For example, 6 / 6, 7 / 4, 21 / 20, 121 / 100, etc., are all improper fractions.
    All improper fractions are greater than or equal to 1.
    Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5(i) Mixed Numbers
    A mixed number has two parts, a whole number part (except 0) and a part with a fraction.
    For example,Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5are all mixed numbers.Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
  3. Unit Fractions
    A fraction whose numerator is 1 and the denominator is greater than 1 is called a unit fraction, 
    For example, 1 / 8, 1 / 3, 1 / 5, etc.
  4. Like Fractions
    Fractions that have the same denominator are called like fractions.
    For example, 8 / 12, 7 / 12, 17 / 12, 23 / 12 are all like fractions.
  5. Unlike Fractions
    Fractions whose denominators are different are called unlike fractions.
    For example, 4 / 6, 3 / 8, 12 / 15, 23 / 35 are all unlike fractions.

Edurev Tips: We can write a mixed number as an improper fraction and an improper fraction as a mixed number.


Example 1: Write 7 / 5 as a mixed number.

Method 1: Pictorially, it can be shown as:
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
It can also be represented on the number line as:
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5Jump five-fifths to land on 1. Jump 2 more fifths to land on 7 / 5.
This is same as jumping to 1 and then to another 2 / 5.
∴ 7 / 5 as a mixed number is Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Method 2: By Division Method,
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5


Edurev Tips: 

Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5


Example 2: Write Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5as an improper fraction.

Pictorially, it can be shown as:
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Multiply the whole number part by the denominator and add numerator to the product.
Alternatively,
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5


Equivalent Fractions

Consider the following fraction bars.
Fractions that name the same part of the whole are called equivalent fractions.
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Therefore, 1 / 4, 2 / 8 and 3 / 12 are equivalent fractions and we write 1 / 4 = 2 / 8 = 3 / 12.


Edurev Tips:
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5

Thus, to find equivalent fractions, we either multiply or divide the numerator and denominator by the same number.


Example 3: Fill in the missing numbers.
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5

Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5


Writing a Fraction in its Simplest Form

A fraction is in its simplest form when its numerator and denominator have no common factors other than 1.

Fractions such as 1 / 2, 3 / 5, 5 / 8 are all fractions in their simplest form. In 1 / 2, there is no common factor of 1 and 2 except 1. Likewise, the only common factor of 3 and 5 in 3 / 5 is 1 and of 5 and 8 in 5 / 8 is 1.
The fraction 10 / 15 is not in its simplest form because 5 is a common factor of 10 and 15.
Similarly, 3 / 21 is not in its simplest form because 3 is a common factor of both 3 and 21.


Example 4: Express the following fractions in their simplest form.
(a) 6 / 8
(b) 15 / 30
(c) 210 / 330

(a) Divide both numerator and denominator by a common factor.
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Dividing 6 and 8 by 2, we have,
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
(b) 
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Hence, 15 / 30 in its simplest form = 1 / 2, because 1 and 2 have no common factor except 1.
Alternative Method:
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Method: To reduce a fraction to its simplest form, keep dividing by common factors until the only common factor is 1.
(c)
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5


Comparing Fractions

1. Comparing Fractions with Like Denominators

Example 5: For a singing competition, 6 / 15 of the children are girls and 9 / 15 are boys. Whose number is greater in the competition, of boys or of girls?

To answer this question we have to compare 6 / 15 and 9 / 15. We can use two ways for comparing them and then state a general rule.
Method 1: Comparing Pictorially
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5On comparing the shaded parts, you can see that 9 / 15 > 6 / 15.
∴ The number of boys is more.
Method 2: Comparing on Number Line
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 59 / 15 is to the right of 6 / 15, therefore,  9 / 15 > 6 / 15.


Rule: If two or more fractions have the same denominator, the fraction with the greater numerator is the greater number, e.g., 6 / 7 > 5 / 7 or 5 / 7 < 6 / 7.


2. Comparing Fractions with Unlike Denominators
Example 6: Which is greater: 1 / 3 or 2 / 5?

Pictorially, 1 / 3 and 2 / 5 can be compared as:
Method 1
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5On comparing the shaded parts, you can see that 2 / 5 > 1 / 3.
Method 2
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5Comparing fractions on number line, you can see that 2 / 5 is on the right of 1 / 3.
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5


3. By Finding Equivalent Fractions Using LCM
To compare 1 / 3 and 2 / 5, we convert them into equivalent fractions both having the same denominator.
The common denominator in this case will be taken as the LCM of 3 and 5.
LCM of 3 and 5 = 3 × 5 = 15.
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5


Edurev Tips: This is the most commonly used method for comparing and ordering unlike fractions.


Ordering Fractions

Now that you know how to compare fractions, you can order them in any order— increasing or decreasing.


Example 7: Arrange the fractions 7 / 8, 5 / 12, 15 / 16 in increasing order.

Step 1: Find the LCM of the denominators 8, 12 and 16.
LCM of 8, 12 and 16 = 2 × 2 × 2 × 3 × 2 = 48
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Step 2: Find the equivalent fractions with denominator 48.
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Step 3: Compare the equivalent fractions:
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Arranging the fractions in increasing order,
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
You can write the same fractions in decreasing order as
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5


Ordering Unit Fractions

A unit fraction has 1 as its numerator, but the denominator can vary.
For example, 1 / 2, 1 / 3, 1 / 4, 1 / 5 are unit fractions. What conclusion do you draw from the following diagrams?
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5It can be clearly seen that
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Thus, if the numerator is the same, the fraction with the least denominator is the greatest.


Addition and Subtraction of Fractions

1. To Add or Subtract Like Fractions (Fractions with the Same Denominator)

When we add or subtract fractions with the same denominator, we just add or subtract the numerators and keep the denominator same.

Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5

2. To Add or Subtract Unlike Fractions
Example 8: Ravi and Nisha are painting a wall. Ravi painted 1 / 2 of the wall and Nisha painted 1 / 4 of the wall. What part of the wall did they paint altogether?

Wall painted by Ravi = 1 / 2
Wall painted by Nisha = 1 / 4
Total part of the wall painted = 1 / 4 + 1 / 2
To be able to add these, first change one or both of the fractions to fractions having common denominator.
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Therefore, 3 / 4 part of the wall was painted by Ravi and Nisha.


Rule: When we add fractions with different denominators, we change the fractions to fractions having the same denominator. This common denominator is the least common denominator of the given fractions.

What is meant by least common denominator?
Study the two rows of fractions given below:
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5The numbers 12, 24 and 36 are some of the common denominators of 1 6 and 34. Of these, 12 is the least common denominator. Also, we can see that 12 is the LCM of 6 and 4. Thus, the least common denominator of two fractions is the same as the least common multiple of their denominators.
To add or subtract unlike fractions, write the given fractions as equivalent fractions with the least common denominator (LCM of the denominators) and then add or subtract like fractions.


Example 9: Add:
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5

Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Method 1: LCM of 4 and 5 = 4 × 5 = 20
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5Method 2: You may also set your work as under:
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Step 1: LCM of 4 and 5 = 20
Step 2: Divide 20 by the denominator of the first fraction. 20 ÷ 4 = 5
Multiply quotient 5 by numerator 3 and write 3 × 5.
Divide 20 by the denominator of the second fraction. 20 ÷ 5 = 4
Multiply quotient 4 by numerator 2 and write 2 × 4.
Now, complete as shown.
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
LCM of 6 and 10 = 30.
Changing 5 / 6 and 1 / 10 to equivalent fractions having the same denominator 30.
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5


Example 10: Subtract:
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5

Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Method 1
LCM of 8 and 4 = 8.
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Method 2
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
LCM of 7 and 11 is 7 × 11 = 77.
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5


Addition of Mixed Fractions

Type I: With Same Denominators

Example 11: When released, a gas balloon first rose by Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5and then again by

Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5What is the total height to which the gas balloon rose?

Pictorially, the problem can be represented as:
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5Thus, we can add mixed numbers by first adding whole numbers and then proper fractions. Therefore, the above work can be set as:
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5


Example 12: A cow gave Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5litres of milk in the morning and Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5 litres in the evening. Find the total quantity of the milk given by the cow.

Method 1
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Method 2
Total quantity of milk given by the cow
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Convert each mixed number to improper fraction.
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
∴ So, the cow gaveChapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5litres of milk in all.


Type II: With Different Denominators

Example 13: Add:
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5

Method 1
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
LCM of 2 and 4 = 4.
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Method 2
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
By changing into improper fractions
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5


Example 14: Add:
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5

Method 1
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
LCM of 4, 6, 12 = 2 × 2 × 3 = 12.
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Method 2
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5


Edurev Tips: Method 1 is particularly useful when the whole number parts of given fraction are large numbers such as in
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5


Subtraction of Mixed Fractions

Example 15: Subtract:
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5

Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5


Example 16: Subtract
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5

Method 1
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Step 1: Subtract the whole numbers.
Step 2: Change fractions to equivalent fractions, 1 / 4 = 3 / 12.
Step 3: Subtract the fractions.
Method 2
Convert mixed fractions into improper fractions.
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5


Subtracting from Whole Numbers

Subtracting from 1

Example 17: Mira is preparing a sweet dish. She used 5 / 8 litre of milk from a jug containing 1 litre milk. How much milk is left in the jug?

Quantity of milk remaining in jug
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Or
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Mira still has 3 / 8 litre of milk left in the jug.


Example 18: David lives 3 kilometres away from a town. Paul lives 56 of a kilometre away from the town. How much closer does Paul live to the town than David?

Method 1
Paul lives
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Thus, Paul livesChapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5km closer to the town as compared to David.
Method 2
Paul lives
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5km closer.
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Thus, Paul livesChapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5 km closer to the town as compared to David.


Edurev Tips: In subtraction sums like Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5 where whole number parts are large numbers, it may be easier and more convenient to apply method 1.
Thus,
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5


Example 19: Subtract:
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5

Method 1
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Method 2
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Method 2 is generally preferred.


Properties of Addition of Fractions

  1. Changing the order of two addends does not change the sum.
    Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
    Pictorially, it can be shown as:Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5Similarly, by actual addition, you can verify that;
    Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
    Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
  2. Changing the way in which we group the addends does not change the sum.
    Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
    Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
    Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
    Thus,
    Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
    Or
    Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
    Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
    Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
    This is called the grouping property of addition of fractions.
  3. Additive property of 0.
    Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
    Thus, the sum of a fraction and 0 is the fraction itself.

Problems Based on Real Life Situations

Example 20: Deepa used 5 / 9 L of milk to prepare kheer. She added 1 / 2 L more milk to the kheer. How many litres of milk did she use to make the kheer?

Milk used by Deepa = 5 / 9 L
Milk added by her = 1 / 2 L
Total quantity of milk used (in litres)= (5 / 9 + 1 / 2)
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
LCM of 9 and 2 is 18.
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
∴ Deepa used Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5 of milk for the kheer.


Example 21: Pinki had Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5 of a ribbon. She used Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5 of the ribbon to wrap some gifts. How much ribbon is left with her?

Ribbon with Pinki
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Ribbon used
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Ribbon left (in metres)
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5
LCM of 2 and 3 is 6.
Thus, Pinki had Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5 of ribbon left with her.

The document Chapter Notes: Fractions Notes | Study Mathematics for Class 5 - Class 5 is a part of the Class 5 Course Mathematics for Class 5.
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