Question

Work out, giving your answer in its simplest form:
4/7 divided by 2 1 / 3

Answer 1

`(12)/(49)`

Explanation:

Given

`(4)/(7)` ÷ 2
`(1)/(3)` ← change mixed number to improper fraction

=
`(4)/(7)` ÷
`(7)/(3)`

To perform the division

Leave the first fraction. change division to multiplication and turn the second fraction upside down.

=
`(4)/(7)` ×
`(3)/(7)` ← multiply numerators/ denominators together

=
`(4(3))/(7(7))`

=
`(12)/(49)`

Answer 2

Explanation:

4/7÷21/3

=4/7*3/21

=12/147