Division of Fractions Help

Fractions:

A fraction is a number that can represent part of a whole. The earliest fractions were reciprocals of integers: ancient symbols representing one part of two, one part of three, one part of four, and so on. A much later development was the common or "vulgar" fractions which are still used today (½, ⅝, ¾, etc.) and which consist of a numerator and a denominator.(Source : Wikipedia)

In this article we are going to see about general rule for division of fractions help and some solved problems on division of fractions help and some practice problems on division of fractions.


This article will help you to learn division of fractions.

Division of fractions help:

Method to for division of fractions:

Take a reciprocal of the divisor fraction

Multiply the reciprocal of divisor fraction with the dividend fraction


Solved problems on division of fractions:

The following solved problems will help you to solve divisions of fractions.

Problem 1 :

Divide the fractions 14/18 ÷ 7/9

Solution:

Given, 14/18 ÷ 7/9

14/18 -> Dividend

7/9 -> Divisor

Take a reciprocal of the divisor,

Reciprocal of 7/9 = 9/7

Multiply the reciprocal of divisor by the dividend.

14/18 * 9/7 = (14 * 9) / ( 18 * 7)

= 126 / 126

= 1

Answer: 14/18 ÷ 7/9 = 1

Problem 2:

Divide the fractions 5/8 ÷ 15/16

Solution:

Given, 5/8 ÷ 15/16

5/8 -> Dividend

15/16 -> Divisor

Take a reciprocal of the divisor,

Reciprocal of 15/16 = 16/15

Multiply the reciprocal of divisor by the dividend.

5/8 * 16/15 = ( 5 * 16 ) / ( 8 * 15)

= 80 / 120

Divide by 40 on both numerator and denominator,

(80÷ 40)/ (120 ÷ 40) = 2 / 3

Answer: 5/8 ÷ 15/16 = 2 / 3

Problem 3:

Divide the fractions 256 / 144 ÷ 16/12

Solution:

Given, 256 / 144 ÷ 16/12

256 / 144 -> Dividend

16/12 -> Divisor

Take a reciprocal of the divisor,

Reciprocal of 16/12 = 12/16

Multiply the reciprocal of divisor by the dividend.

256 / 144  * 12/16 = ( 256 * 12 ) / ( 144 * 16)

=  3072 / 2304

Divide by 768 on both numerator and denominator,

(3072 ÷ 768) / (2304 ÷ 768) = 4 / 3

Answer: 256 / 144 ÷ 16/12 = 4/3

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Practice problems on division of fractions help:

Problems:

1.Divide the fractions 4/3 ÷ 8/9

2.Divide the fractions 7/11 ÷ 35/33

Answer:

1. 3/2

2. 3/5