Subtraction of Fractions having the Same Denominator
In subtraction of fractions having the same denominator, we just need to subtract the numerators of the fractions.
Follow the steps of subtraction of like fractions:
We can subtract in a similar way. 7/8 of the class are boys.
3/8 of the class are girls. By how much fraction are the boys more?
Boys 7/8
Girls 3/8
7/8 - 3/8
= (7 - 3)/8
= 4/8
The difference is 4/8 or 1/2
We can also reduce the fraction to the lowest term.
4/8 ÷ 4/4
= 1/2
Examples of subtracting fractions with the same denominator:
1. Subtract 3/8 from 7/8
Solution:
7/8 – 3/8
= (7 - 3)/8
= 1/2
2. Subtract 5/6 from 11/6
Solution:
11/6 – 5/6
= (11 - 5)/6
= 6/6
= 1/1
= 1
3. Subtract 7/9 from 11/9
Solution:
11/9 – 7/9
= (11 - 7)/9
= 4/9
4. Subtract 4/6 from 16/6
Solution:
16/6 – 4/6
= (16 - 4)/6
= 2/1
= 2
5. Subtract 2/4 from 17/4
Solution:
17/4 – 2/4
= (17 - 2)/4
= 15/4
Related Concept
● Representation of a Fraction
● Properties of Equivalent Fractions
● Comparison of Like Fractions
● Comparison of Fractions having the same Numerator
● Conversion of Fractions into Fractions having Same Denominator
● Conversion of a Fraction into its Smallest and Simplest Form
● Addition of Fractions having the Same Denominator
● Subtraction of Fractions having the Same Denominator
● Addition and Subtraction of Fractions on the Fraction Number Line
4th Grade Math Activities
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