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All questions of Chapter 4 - Parts and Wholes for Class 5 Exam

Represent the shaded part as a fraction and choose the correct option.
 
  • a)
    It is a proper fraction
  • b)
    It is an improper fraction
  • c)
    It is a-mixed fraction
  • d)
    It is a unit fraction
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?

5 parts are shaded in the piechart out of 16
That means fraction of shaded part is 5/16
It represents a proper fraction because it is less than 1
or numerator is less than denominator.

Which one of the following is not an equivalent fraction of  ?
  • a)
    768/1280
  • b)
    7509/12515
  • c)
    369/625
  • d)
    513/855
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

A fraction is said to be equivalent fraction only when its simplest form is equal to the actual fraction. For example 12/20 can be considered as an equivalent fraction of 3/5 because:
12/ 20= 3*4/5*4 where 4 /4 =1.So the simplest form is 3/4.
But when we multiply 3*123/5*123
We get answer as 369/ 615
Since the denominator given in question is 625 it is wrong and not an equivalent fraction.

Decimal comes from Latin word _________
  • a)
    Decem                         
  • b)
    Decema       
  • c)
    Decimilar                     
  • d)
    Deca
Correct answer is option 'A'. Can you explain this answer?

Aaditya Chavan answered
Answer : 
a)
Decem 
The word decimal comes from the Latin word decimus meaning tenth. Deca means 10 and comes from the Latin word decem (ten) and the Greek word deka. The decimal place value system then, is a way of counting and recording numbers using ten as a base for grouping.

Mixed fraction = Nearest Natural Number + _________
  • a)
    Improper fraction     
  • b)
    Proper fraction
  • c)
    Like fraction              
  • d)
    Complex fraction
Correct answer is option 'B'. Can you explain this answer?

Yashvi Pillai answered
**Explanation:**

A mixed fraction is a combination of a whole number and a proper fraction, where the numerator is less than the denominator. It is written in the form of a whole number followed by a fraction.

For example, 3 1/2 is a mixed fraction where 3 is the whole number and 1/2 is the fraction.

On the other hand, a proper fraction is a fraction where the numerator is less than the denominator. It does not have a whole number part.

For example, 1/2 is a proper fraction.

Now, let's consider the given statement: "Mixed fraction = Nearest Natural Number"

This means that when we have a mixed fraction, we need to find the nearest natural number that is closest to the value of the mixed fraction.

For example, if we have the mixed fraction 3 1/2, we need to find the nearest natural number to the value of 3 1/2.

The value of 3 1/2 is 3.5. The nearest natural number to 3.5 is 4.

Therefore, the nearest natural number to the mixed fraction 3 1/2 is 4.

Since the answer is a whole number (natural number) and not a fraction, the correct option is B) Proper fraction.

In summary, when we have a mixed fraction and we need to find the nearest natural number to its value, the answer will always be a proper fraction.

Which one of the following is not correct?
  • a)
    Value of a proper fraction is less than 1
  • b)
    Value of an improper fraction is greater than 1
  • c)
    Value of equivalent fractions are same
  • d)
    Value of a mixed fraction is less than 1
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Mihir Menon answered
A fraction in which the numerator is larger than or equal to the denominator, like 5/2, 17/3, or 6/6 is called an improper fraction. (To put it another way, a fraction with a value less than 1 is a proper fraction.

Write the fraction 90/145 in its lowest form.
  • a)
    18/45
  • b)
    18/29
  • c)
    9/26
  • d)
    16/29
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Simplifying Fractions: 90/145

To simplify the fraction 90/145, we need to find the greatest common factor (GCF) of the numerator and denominator and then divide both by that number. Here are the steps:

Step 1: Find the factors of the numerator (90) and denominator (145).
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Factors of 145: 1, 5, 29, 145

Step 2: Identify the greatest common factor (GCF) of 90 and 145.
The only factor that both 90 and 145 have in common is 5. Therefore, the GCF of 90 and 145 is 5.

Step 3: Divide both the numerator and denominator by the GCF.
90/5 = 18
145/5 = 29

Therefore, the simplified or lowest form of the fraction 90/145 is 18/29. The correct answer is option 'B'.

Jack cuts a paper sheet into 56 equal parts, He colours all the parts with different colours. If red parts out of total parts represents , how many parts did jack coloured with red?
  • a)
    13
  • b)
    26
  • c)
    39
  • d)
    52
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Total no of parts=56
Red parts out of total parts represents = 13/28  That is 13 out of 28
But total cards are 56, So multiply both 13 and 28 by 2, we get
13 x 2 = 26 
28 x 2 = 56 
Hence from 56 total cards, 26 are coloured red.

Which of the following is an example of proper fraction?
  • a)
  • b)
  • c)
  • d)
  • e)
    All of the above
Correct answer is option 'E'. Can you explain this answer?

Surbhi Shah answered
A fraction in which the numerator is smaller than the denominator, like
1
/2,
2
/3, or
4
/6 is called a proper fraction.

Two fractions are called like fractions, if they have same:
  • a)
    Numerator
  • b)
    Denominator
  • c)
    Whole number part
  • d)
    All of these
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Anu Sar answered
B The fractions which have the same denominator are called like fractions. i.e. their denominators are equal. For example, if we have a group of fractions such as 1/5, 2/5, 3/5, 4/5. Since the denominators of each of the fractions are the same i.e. 5, they are like fractions.

Decimals having the same number of decimal places are called _________
  • a)
    Like decimals   
  • b)
    Unlike decimals
  • c)
    Decimals                      
  • d)
    Whole numbers
Correct answer is option 'A'. Can you explain this answer?

The correct answer is option 'A' - Like decimals.

Decimals are a way of representing numbers that are not whole numbers. They include a decimal point that separates the whole number part from the decimal part. The digits to the right of the decimal point represent a fraction of a whole number.

When comparing decimals, it is important to consider the number of decimal places they have. The number of decimal places refers to the number of digits to the right of the decimal point.

Decimals that have the same number of decimal places are called like decimals. For example, 0.25 and 0.75 have two decimal places, so they are like decimals. Similarly, 2.430 and 5.730 have three decimal places, so they are also like decimals. In both cases, the number of decimal places is the same, making them like decimals.

On the other hand, decimals that have a different number of decimal places are called unlike decimals. For example, 0.5 and 0.35 have different decimal places, so they are unlike decimals. Similarly, 3.2 and 5.67 have a different number of decimal places, so they are unlike decimals as well.

The reason why the correct answer is option 'A' - Like decimals is because decimals with the same number of decimal places are considered to be similar or like each other. This helps in comparing and performing operations on decimals more easily.

Understanding the concept of like and unlike decimals is important in various mathematical operations such as addition, subtraction, multiplication, and division. It allows us to align the decimal places correctly, making calculations more accurate.

a/b is a fraction. If a is smaller than b, a/b is a:
  • a)
    Unit fraction
  • b)
    Proper fraction
  • c)
    Improper fraction
  • d)
    Mixed fraction
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Understanding the question:
We are given a fraction a/b, and the condition is that a is smaller than b. We need to determine the type of fraction that a/b represents.

Types of fractions:
To understand the answer, let's first understand the types of fractions:

1. Unit fraction: A unit fraction is a fraction where the numerator is 1. For example, 1/2, 1/3, 1/4, etc. The numerator is always smaller than the denominator.

2. Proper fraction: A proper fraction is a fraction where the numerator is smaller than the denominator. For example, 2/3, 3/4, 5/6, etc. In a proper fraction, the value of the fraction is always less than 1.

3. Improper fraction: An improper fraction is a fraction where the numerator is equal to or greater than the denominator. For example, 4/3, 5/4, 7/5, etc. In an improper fraction, the value of the fraction is always equal to or greater than 1.

4. Mixed fraction: A mixed fraction is a combination of a whole number and a proper fraction. For example, 1 2/3, 3 1/4, 2 5/6, etc. In a mixed fraction, the whole number part is always greater than 0.

Applying the given condition:
In the given question, we are told that "a" is smaller than "b". Let's analyze the possible options:

a) Unit fraction: A unit fraction has a numerator of 1. Since "a" is smaller than "b", it cannot be a unit fraction because the numerator would be smaller than 1.

b) Proper fraction: A proper fraction has a numerator smaller than the denominator. Since "a" is smaller than "b", it fits the condition for a proper fraction.

c) Improper fraction: An improper fraction has a numerator equal to or greater than the denominator. Since "a" is smaller than "b", it cannot be an improper fraction.

d) Mixed fraction: A mixed fraction is a combination of a whole number and a proper fraction. Since "a" is smaller than "b", it cannot be a mixed fraction because the whole number part would be 0 or negative.

e) None of these: This option is not applicable because "a/b" is definitely a fraction.

Conclusion:
Based on the given condition that "a" is smaller than "b", the fraction "a/b" represents a proper fraction (option b).

What is the cost of 3/5 kg of apples if the price per kg is rupees 25?
  • a)
    10
  • b)
    12
  • c)
    15
  • d)
    18
Correct answer is option 'C'. Can you explain this answer?

- The price for 1 kg of apples is 25 rupees.
- For 3/5 kg of apples:
- 3/5 x 25 = 15 rupees
- Therefore, the cost of 3/5 kg of apples is 15 rupees.
 

Fraction is a _________
  • a)
    Part of whole    
  • b)
    Circle         
  • c)
    Computer                    
  • d)
    Earth
Correct answer is option 'A'. Can you explain this answer?

Freak Artworks answered
Fraction is a part of a whole that represents a proportional relationship. It is a way to express quantities that are not whole numbers. Here are some key points about fractions:
  • A fraction consists of two parts: the numerator (the top number) and the denominator (the bottom number).
  • The numerator indicates how many parts are being considered.
  • The denominator shows the total number of equal parts that make up a whole.
  • Fractions can be proper (numerator less than denominator), improper (numerator greater than or equal to denominator), or mixed (a whole number combined with a fraction).
  • Fractions are used in various real-life situations, such as in cooking, measuring, and dividing items.
Understanding fractions is essential for mathematics, as they are foundational for concepts like ratios, percentages, and algebra.

Arrange the following decimal numbers in ascending order. 4.4, 0.44, 0.044, 0.004
  • a)
    4.4, 0.044, 0.004, 0.44
  • b)
    0.44, 0.004, 0.044, 4.4
  • c)
    4.4, 0.440.044, 0.004
  • d)
    0.004, 0.044, 0.44, 4.44
Correct answer is option 'D'. Can you explain this answer?

Mayank Pillai answered
Ascending Order of Decimal Numbers

To arrange decimal numbers in ascending order, we need to compare the numbers and arrange them from smallest to largest.

Given decimal numbers: 4.4, 0.44, 0.044, 0.004

To determine the ascending order, we compare the numbers digit by digit from left to right.

Comparing the Whole Numbers:
- The whole number part of all the given decimal numbers is the same, which is 0.

Comparing the Tenths:
- The tenths digit of the given numbers is 4, 4, 0, and 0.
- Since 0 is the smallest among these digits, the number with 0 as the tenths digit will come first.

Comparing the Hundredths:
- The hundredths digit of the given numbers is 4, 4, 4, and 0.
- Since 0 is the smallest among these digits, the number with 0 as the hundredths digit will come next.

Comparing the Thousandths:
- The thousandths digit of the given numbers is 0, 4, 4, and 4.
- Since 0 is the smallest among these digits, the number with 0 as the thousandths digit will come next.

Therefore, the ascending order of the given decimal numbers is:
0.004, 0.044, 0.44, 4.4 (option D)

In this order, the numbers are arranged from smallest to largest, following the rules of comparing the digits from left to right.

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