Question

What is Two-thirds divided by StartFraction 4 Over 5 EndFraction?

A fraction bar labeled 1. Under the 1 are 5 boxes labeled one-fifth. Under the 5 boxes are 3 boxes containing one-third. Under the 3 boxes are 15 boxes labeled StartFraction 1 Over 15 EndFraction.

Answer 1

`(5)/(6)`

Explanation:

The problem says Two-thirds divided by StartFraction 4 Over 5 EndFraction.

Two thirds means = 2/3

It means,

`x=(2)/(3)\ \text{divided by}\ (4)/(5)`

or

`x=((2)/(3))/((4)/(5))\\\\=(2)/(3)* (5)/(4)\\\\=(5)/(6)`

Hence, the required answer is
`(5)/(6)`.