Question

What do you times by 5/9 to get 40/9

Answer 1

Hey there :)

Something times
`(5)/(9)` =
`(40)/(9)`

Let r represent the unknown

r ×
`(5)/(9) = (40)/(9)`

To find the value of r, take
`(5)/(9)` to the other side by division since the operation performed in multiplication

r =
`(40)/(9)` ÷
`(5)/(9)`

Since it is a fraction, you can multiply by what is called the reciprocal of the second number divided by

r =
`(40)/(9)` ×
`(9)/(5)`
The 9's can cancel out since one is in the numerator and the other in the denominator

r =
`(40)/(5)`
r = 8

The unknown number is 8