Question

What is 2/5 divided by 5/7 in fraction form, not decimal

Answer 1

`(14)/(25)`

Explanation:

Pre-Solving

We want to know what is
`(2)/(5)` ÷
`(5)/(7)`, and we want to write it as a fraction.

When dividing fractions, we actually multiply the first fraction by the reciprocal of the second.

In other words, we "flip" the second fraction and multiply it by the first.

Solving

To get the reciprocal / "flip" a fraction, we put the number that is the numerator on the denominator, and the number that is on the denominator onto the numerator.

So, for
`(5)/(7)`, its reciprocal is
`(7)/(5)`.

Now, we multiply
`(2)/(5)` by
`(7)/(5)`.

`(2)/(5)` ×
`(7)/(5)` =
`(14)/(25)`

The fraction cannot be reduced, so the answer is
`(14)/(25)`.