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.
To find the difference between like fractions we subtract the smaller numerator from the greater numerator.
For example:
\(\frac{5}{7}\) – \(\frac{2}{7}\) = \(\frac{5 – 2}{7}\) = \(\frac{3}{7}\)
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
Subtraction of Like Fractions:
6. Subtract \(\frac{7}{17}\) – \(\frac{5}{17}\)
\(\frac{7}{17}\) – \(\frac{5}{17}\) = \(\frac{7 – 5}{17}\)
= \(\frac{2}{17}\)
7. Subtract \(\frac{13}{23}\) – \(\frac{9}{23}\)
\(\frac{13}{23}\) – \(\frac{9}{23}\) = \(\frac{13 – 9}{23}\)
= \(\frac{4}{23}\)
Questions and Answers on Like Fraction:
1. Subtract the following Like Fractions:
(i) \(\frac{12}{17}\) – \(\frac{5}{17}\)
(ii) \(\frac{17}{23}\) – \(\frac{4}{23}\)
Answer:
1. (i) \(\frac{12}{17}\) – \(\frac{5}{17}\)
(ii) \(\frac{17}{23}\) – \(\frac{4}{23}\)
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