A fraction is a numerical quantity that is not a whole number.
For example,
Like Fraction
Fractions having the same denominator are called like fractions.
For example,
Unlike Fractions
Fractions having different denominators are called, unlike fractions.
For example,
Proper Fraction
A fraction whose numerator is less than the denominator is called proper fraction.
For example,
Improper Fraction
A fraction whose numerator is greater than the denominator is called improper fraction.
For example,
Equivalent Fraction
Fractions that represent the same or equal values are called equivalent fractions.
For example,
Example 1: Find the fraction of shaded and unshaded part.
Sol: Total Part= 8 Fraction of shaded part= 3/8 Fraction of unshaded part= 5/8
Example 2: Find the fraction of red balls, green balls and blue balls.
Sol: Total number of balls= 10 Number of red balls= 4
Fraction of red balls= 4/10= 2/5
Fraction of green balls= 5/10= ½
Fraction of blue balls= 1/10
Fraction as a division
Any fraction can be expressed as a division by writing its numerator as dividend and denominator as divisor Numerator/Denominator
 = Dividend ÷ Divisor
 =Dividend/Divisor
Example 1: Write 1÷2 as a fraction.
Sol: ½
Example 2: Write 2/3 as division.
Sol: 2÷3
Example 1: Fill in the blank
Sol: 2 x 2 = 4
Therefore, 1 should be multiplied by 2 which gives 1 x 2 = 2
Hence, 2/4 [Ans]
Example 2: Check whether the fractions 2/3, and 3/4 are equal or not.
Sol: To check whether the fractions 2/3 and 3/4 are equal, we need to compare them and see if they represent the same value. Fractions are equal if their numerator and denominator ratios are the same. Let's perform the comparison:
Fraction 2/3:
Numerator = 2
Denominator = 3
Fraction 3/4:
Numerator = 3
Denominator = 4
To determine if they are equal, we can crossmultiply and check if the products are the same:
For 2/3:
2 * 4 = 8
For 3/4:
3 * 3 = 9
Since 8 is not equal to 9, we can conclude that the fractions 2/3 and 3/4 are not equal.
Finding and checking equivalent fraction
To find a fraction in its lowest term
Example 1: Find the lowest term of the Fraction 12/24 using method 1.
Sol:
Example 2: Highest Common Factor (HCF) of 15 and 65 is 5
To find the fraction of a number or quantity
Example 1: A group has 120 children. 4/5 of them are girls. Find the number of boys.
Sol:
No. of boys= (12096) = 24
Example: 2: Find 1/4 of a year in months.
Sol: A year has 12 months.
¼ X 12 = 3 months [ANS]
To compare unlike fractions
Example 1: Compare
Sol:
Example 2: Arrange the follwing fractions in ascending and descending order.
1/2, 2/3, 3/4
Sol: LCM of 2,3,4 is 2x3x2 = 12
Denominator is common. And 9 > 8 > 6
Therefore, ascending order = 1/2 < 2/3 < 3/4
descending order = 3/4 > 2/3 > 1/2
Example 1: Add/subtract ½ and/from 1/6.
Sol: LCM of 2 and 6 is = 2x3=6 22,6 1,3
The result is reduced to its lowest term here.
Example 1: Find the value of
Sol:
Example 2: A car goes metres in one minute. How far will it go in minutes?
Sol: In one minute, the car goes
Distance traveled by the car in
When the product of two fractions is 1, we say that each of the fraction is the reciprocal or multiplicative inverse of the other.
Example 1: Find the reciprocal of
Sol:
= 4/7
Example 1:
Sol:
Example 2: A cloth is meter long. How many pieces of each can be cut be from the rope?
Sol: Number of pieces
30 videos62 docs10 tests

1. What is a fraction? 
2. How can mixed fractions be converted into improper fractions for comparison? 
3. How can fractions be multiplied together? 
4. What is the reciprocal of a fractional number? 
5. How can fractions be compared when the denominators are different? 

Explore Courses for Class 1 exam
