find the Quotient in simplest form
3
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5
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7
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10
Answers
We will discuss here about dividing fractions by a whole number, by a fractional number or by another mixed fractional number.
First let us recall how to find reciprocal of a fraction, we interchange the numerator and the denominator.
For example, the reciprocal of ¾ is 4/3.
Division of Fractions
Find the reciprocal of 3 ¾
The reciprocal of 3 ¾ is 4/15.
Division of Fractions Reciprocal
I. Division of a fraction by a whole number:
For example:
(i) Divide 3/5 by 12
Solution:
3/5 ÷ 12
= 3/5 ÷ 12/1
= 3/5 × 1/12
= (3 × 1)/(5 × 12)
= 3/60
= 1/20
Step I: Find the reciprocal of the whole number and multiply with the fractional number as usual.
Step II: Express the product in its lowest terms.
(ii) Solve: 5/7 ÷ 10
= 5/7 ÷ 10/1
= 5/7 × 1/10
= (5 × 1)/(7 × 10)
= 5/70
Step I: Find the reciprocal of the whole number and multiply with the fractional number as usual.
Step II: Express the product in its lowest terms.
3/5 ÷ 7/10
= 3×10 / 7× 5
= 6/ 7