Here, we explain subtraction of fractions
with like and unlike denominators
in a lucid way.
We include solved examples and
problems for practice with answers.

Subtracting of Like Fractions

Difference of like fractions
= (Difference of their numerators)⁄(Common denominator)

Step 1 :
Find the
L.C.M.
of denominators of given fractions.

Step 2 :
Convert the given fractions into
equivalent like fractions
with their L.C.M. as common denominator.

Step 3 :
Subtract the like fractions so obtained.

Step 4 :
Reduce the fraction obtained in step 3 to its lowest terms
and convert it into mixed fraction
if required.

Solved Example 1 of Subtracting Fractions

Find the difference 13⁄18 - 7⁄12

Solution :
Let us find the L.C.M. of the denominators.

6| 18 12
----------------
3 2

L.C.M. = 6 x 3 x 2 = 36.

13⁄18 - 7⁄12
= (13 x 2)⁄(18 x 2) - (7 x 3)⁄(12 x 3)
= 26⁄36 - 21⁄36 = (26 - 21)⁄36
= 5⁄36. Ans.

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= (96 - 45 - 52 + 90)⁄108 = 89⁄108.
Ans.

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Exercise on Subtracting Fractions

Problems on Subtracting Fractions :

Find the values of

9⁄13 - 4⁄13

16⁄17 - 9⁄17 - 3⁄17 - 1⁄17

13⁄63 - 7⁄42

4⁄21 - 9⁄14 - 11⁄35 + 49⁄30

5 ^{3}⁄_{4} - 4 ^{5}⁄_{16} +6 ^{7}⁄_{12}

For Answers, see at the bottom of the page.

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