Question

How do you multiply `5/8 div 2/5`?

Answer 1

Actually you don't this is division problem treat it as a division problem

Explanation:

This problem can be set up as a fraction divided by a fraction.

`(5/8)/(2/5)`

To simply and solve multiply both the top and the bottom fraction by the inverse of the bottom fractions. This will cause the bottom fraction to become 1.

`2/5 xx 5/2 =1`

`(5/8) xx 5/2/(2/5) xx 5/2`

`(5/2)/(5/2) = 1`

so multiplying both the top and bottom by 5/2 is the same as multiplying by 1

# (5/8) xx 5/2 /(2/5) xx 5/2 = ( 5/8 ) xx ( 5/2)

`5/8 xx 5/2 = 25/16`

There are no common factors but the improper fraction can be changed into a mixed number

`25/16 = 1 9/16`