Question

How do you multiply `7 11/16•7 1/5`?

Answer 1

`1107/20` or `55 7/20`

Explanation:

First, we must convert the mixed fractions to improper fractions by multiplying the integer portion of the mixed fraction by the correct form of @`1` and adding to the fraction portion of the mixed fraction:

`(16/16*7 + 11/16)*(5/5*7 + 1/5)`

`(112/16 + 11/16)*(35/5 + 1/5)`

`123/16 * 36/5`

We can now multiply the numerators and denominators:

`(123 * 36)/(16 * 5)`

`4428/80`

`4/4 * 1107/20`

`1 * 1107/20`

`1107/20`

or

`1100/20 + 7/20`

`55 + 7/20`

`55 7/20`