Answer:
Explanation:
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.
II. Division of a fractional number by a fractional number:
For example:
(i) Divide 7/8 by 1/5
Solution:
7/8 ÷ 1/5
= 7/8 × 5/1
= (7 × 5)/(8 × 1)
= 35/8
= 4 3/8
Step I: Find reciprocal of 1/5.
Step II: Multiply 7/8 by it.
Step III: Express the product in its simplest form.
(ii) Divide: 5/9 ÷ 10/18
Solution:
5/9 ÷ 10/18
= 5/9 × 18/10
= (5 × 18)/(9 × 10)
= 90/90
= 1
Step I: Find reciprocal of 1/5.
Step II: Multiply 7/8 by it.
Step III: Express the product in its simplest form.