# Comparison of Like Fractions

In comparison of like fractions here are some rectangular figures.

(i)

In (i) shaded portion represents 2/7

(ii)

In (ii) shaded portion represents 3/7

(iii)

In (iii) shaded portion represents 5/7

It is clear that 2/7 < 3/7 < 5/7

or 5/7 > 3/7 > 2/7

Thus, in like fractions or fractions having same denominator, that fraction is greater which has the greater numerator.

Accordingly, 3/5 > 2/5; 2/5 < 3/5

15/17 > 10/17; 10/17 < 15/17

If there are three or more like fractions, they may be arranged in ascending (increasing) and descending (decreasing) order. The order will be according to the order of the numerators.

(a) Ascending order: 1/9, 2/9, 3/9, 4/9, 5/9, 7/9, 8/9:

as, 1 < 2 < 3 < 4 < 5 < 7 < 8

(b) Descending order: 8/9, 7/9, 5/9, 4/9, 3/9, 2/9, 1/9:

as, 8 > 7 > 5 > 4 > 3 > 2 > 1

Similarly again;

(a) Ascending order: 5/17, 7/17, 8/17, 11/17, 13/17, 14/17, 16/17:

as, 5 < 7 < 8 < 11 < 13 < 14 < 16

(b) Descending order: 16/17, 14/17, 13/17, 11/17, 8/17, 7/17, 5/17:

as, 16 > 14 > 13 > 11 > 8 > 7 > 5

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