Question

Work out, giving your answer in its simplest form:
3 1/2 divided by 2 3/5

Answer 1

1
`(9)/(26)`

Explanation:

Given

3
`(1)/(2)` ÷ 2
`(3)/(5)` ← change mixed numbers to improper fractions

=
`(7)/(2)` ÷
`(13)/(5)`

To perform the division

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

=
`(7)/(2)` ×
`(5)/(13)` ← multiply numerators/ denominators together

=
`(35)/(26)`

= 1
`(9)/(26)`

Answer 2

1 9/26

• Convert any mixed numbers to fractions.

Then your initial equation becomes:

7/2÷13/5

• Applying the fractions formula for division,

=7×5

2×13

=35/26

• Simplifying 35/26, the answer is...

35/26=1 9/26