Any two like fractions can be compared by comparing their numerators. The fraction with larger numerator is greater than the fraction with smaller numerator, for example \(\frac{7}{13}\) > \(\frac{2}{13}\) because 7 > 2.

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

Questions and Answers on Comparison of Like Fractions:

**1.** Compare the given fractions and put the right sign
<,> or =.

(i) \(\frac{7}{4}\) …… \(\frac{11}{4}\)

(ii) \(\frac{8}{13}\) …… \(\frac{2}{13}\)

(iii) \(\frac{5}{24}\) …… \(\frac{7}{24}\)

**Answers:**

**1.** (i) <

(ii) >

**
**

(iii) <

**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****Word Problems on Multiplication of Mixed Fractions****Worksheet on Word Problems on Multiplication of Mixed Fractions****Multiplying Fractions****Dividing Fractions****Word Problems on Division of Mixed Fractions****Worksheet on Word Problems on Division of Mixed Fractions**

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