Question

How do you simplify `1\frac{5}{8}\times 3\frac{1}{5}`?

Answer 1

You first convert each mixed fraction to an improper fraction:

Explanation:

`1+5/8=1xx8/8+5/8=(8+5)/8=13/8`

`3+1/5=3xx5/5+1/5=(15+1)/5=16/5`

Now we multiply:
`13/8xx16/5=(13xx16)/(8xx5)`

We can cancel by factoring:
`(13xx2xxcancel8)/(5xxcancel8)=26/5`

Now take the `5/5` 's out for the whole number:
`5xx5/5+1/5=5 1/5`

Answer 2

Very details working out so you can see all the steps.

`5 1/5`

Explanation:

`color(green)([color(red)(1)+5/8]xx[color(red)((3xx1))+1/5])`

`color(green)([color(red)(8/8)+5/8]xx[color(red)((3xx5/5))+1/5])`

`color(green)([color(red)(8/8)+5/8]xx[color(red)(15/5)+1/5])`

`[13/8]xx[16/5]`

Cancelling out the 8's

`(13xx16)/(8xx5) =(13xxcancel(16)^2)/(cancel(8)^1xx5) = 26/5`

Write `26/5` as `" "25/5 + 1/5`

Cancelling out the 5's

`= (cancel(25)^5)/(cancel(5)^1)+1/5" " =" " 5 1/5`