CLASS-5
SIMPLIFICATION OF FRACTION
SIMPLIFICATION OF FRACTION -
First arrange fractions with ‘ + ’ sign together and then fractions with ‘ - ‘ sign together. If there are mixed fractions, convert them into improper fractions. Then change all the fractions to their equivalent fractions with common denominator (which is the L.C.M. of the denominators of the fractions). Then solve.
7 9 5
a) ------- + ------- - -------
12 12 12
When the denominators of all the fractions in the sum are the same, keeping that denominator we simplify the numerators.
7 9 5
------- + ------- - -------
12 12 12
(7 + 9) − 5
= ---------------
12
16 − 5
= -------------
12
11
= -------- (Ans.)
12
5 2 1
b) ------ - ------ - ------ + 7
12 3 2
For every whole number 1 is taken as the denominator.
5 2 1
------ - ------ - ------ + 7
12 3 2
5 7 2 1
= ------- + ------- - ------- - -------
12 1 3 2
(12 ÷ 12) × 5 + (12 ÷ 1) × 7 − (12 ÷ 3) × 2 − (12 ÷ 2) × 1
= -------------------------------------------------------
12
1 × 5 + 12 × 7 − 4 × 2 – 6 × 1
= -------------------------------
12
5 + 84 – 8 − 6
= -------------------
12
89 − 14
= ------------
12
75
= --------
12
3 1
= 6 ------ = 6 ------ (Ans.)
12 4