Question

1/5 is 60% of what number

Answer 1

`(1)/(3)`

Explanation:

According to what we know, one-fifth is 60% of a number. Let us call that unknown number x. Since

`(1)/(5) = 60\% \: \\ then \\ x = 100\%`

60% as a fraction is 6/10 or 3/5, in that case 100% as a fraction would be 5/5.

Recall: 60% = 3/5 and 100% = 5/5

therefore:

1/5 = 3/5

x = 5/5

note in order to find the value of x we cross multiply*

`(1)/(5) ( (5)/(5)) = (3)/(5) x`

`(1)/(5) = (3)/(5) x \\ \\ ( (1)/(5) )/( (3)/(5) ) = ( (3)/(5) )/( (3)/(5) ) x \\ \\ (1)/(5) * (5)/(3) = x`

`(1)/(3) = x`

Answer 2

1/5 = 60/100 * x

1/5 * 100/60 = x

100/300 = x

1/3 = x