# Comparison of Like Fractions

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) $$\frac{5}{24}$$ …… $$\frac{7}{24}$$

1. (i) <

(ii) >

(iii) <

## You might like these

• ### Comparison of Fractions having the same Numerator|Ordering of Fraction

In comparison of fractions having the same numerator the following rectangular figures having the same lengths are divided in different parts to show different denominators. 3/10 < 3/5 < 3/4 or 3/4 > 3/5 > 3/10 In the fractions having the same numerator, that fraction is

• ### Fraction in Lowest Terms |Reducing Fractions|Fraction in Simplest Form

There are two methods to reduce a given fraction to its simplest form, viz., H.C.F. Method and Prime Factorization Method. If numerator and denominator of a fraction have no common factor other than 1(one), then the fraction is said to be in its simple form or in lowest

• ### Changing Fractions|Fraction to Whole or Mixed Number|Improper Fraction

In changing fractions we will discuss how to change fractions from improper fraction to a whole or mixed number, from mixed number to an improper fraction, from whole number into an improper fraction. Changing an improper fraction to a whole number or mixed number:

• ### Types of Fractions |Proper Fraction |Improper Fraction |Mixed Fraction

The three types of fractions are : Proper fraction, Improper fraction, Mixed fraction, Proper fraction: Fractions whose numerators are less than the denominators are called proper fractions. (Numerator < denominator). Two parts are shaded in the above diagram.

• ### Fraction as Division |Fractions can be Expressed as Division |Fraction

Fraction as division is also known as fraction as quotient. Examples on Fraction as division If 8 biscuits are distributed between 2 children equally, then each of them will get 8 ÷ 2 = 4 biscuits. If 4 biscuits are distributed between 2 children equally, then each of

• ### Fractions in Descending Order |Arranging Fractions an Descending Order

We will discuss here how to arrange the fractions in descending order. Solved examples for arranging in descending order: 1. Arrange the following fractions 5/6, 7/10, 11/20 in descending order. First we find the L.C.M. of the denominators of the fractions to make the

• ### Fractions in Ascending Order | Arranging Fractions an Ascending Order

We will discuss here how to arrange the fractions in ascending order. Solved examples for arranging in ascending order: 1. Arrange the following fractions 5/6, 8/9, 2/3 in ascending order. First we find the L.C.M. of the denominators of the fractions to make the denominators

• ### Equivalent Fractions | Fractions |Reduced to the Lowest Term |Examples

The fractions having the same value are called equivalent fractions. Their numerator and denominator can be different but, they represent the same part of a whole. We can see the shade portion with respect to the whole shape in the figures from (i) to (viii) In; (i) Shaded

Related Concept