Multiplication and Division of fraction
Multiplication of fractions is pretty simple, we just need to multiply all the numerators together, multiply all the denominators together and then simplify the result if required. We can multiply two or more fractions together. It can be explained by the following example:
Example: Multiply 3/4 by 1/12.
Solution:
we have 3/4 × 1/12
= (3 × 1)/ (4 × 12)
= 3/48
= 1/16 ( on simplifying)
Hence, 3/4 × 1/12 = 1/16
For the Division of Fractions, we use the same approach as the multiplication of fraction after flipping the second fraction. In division, we multiply the first fraction with the reciprocal of the other fraction. It can be explained by following example:
Example: Divide 3/4 by 1/12.
Solution:
we have 3/4 ÷ 1/12
= 3/4 × 12/1
= (3 × 12)/ (4 × 1)
= 36/4
= 9 ( on simplifying)
Hence, 3/4 ÷ 1/12 = 9.
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Division of Fractions
Division means sharing something equally. For example, if we divide 20 sweets equally among 5 children, each child will get 4 sweets. Similarly, Division of fractions means dividing a fraction into equal parts. Like if we want to divide 2/3 of the cake among 6 people, each person will get 2/3 ÷ 6 = 1/9 part of the cake. For division in fractions, we multiply the first fraction with the reciprocal of the second fraction.
In this article, we will learn about fractions, the reciprocal of fractions, the division of a fraction with whole numbers, another fraction, and decimals along with some solved examples for better understanding.
Table of Content
- What is Division of Fractions?
- How to Divide a Fraction?
- Multiplication and Division of fraction
- Examples of Division of Fraction
- Division of Fraction Word Problem
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