Comparison of Like Fractions

In comparison of like fractions here are some rectangular figures.

(i)

Comparison of Like Fractions

In (i) shaded portion represents 2/7


(ii)

Comparison of Like Fractions

In (ii) shaded portion represents 3/7


(iii)

Comparison of Like Fractions
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

Related Concept

Fraction of a Whole Numbers

Representation of a Fraction

Equivalent Fractions

Properties of Equivalent Fractions

Like and Unlike Fractions

Comparison of Like Fractions

Comparison of Fractions having the same Numerator

Types of Fractions

Changing Fractions

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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