Question

Divided fraction 2/5 divided by 3/7 equals 14/15

Answer 1

Hello!

Let's do this division below:

`((2)/(5))/((3)/(7))`

First, let's rewrite it:

`(2)/(5)divided(3)/(7)`

To calculate a division between two fractions, we have to modify the second fraction:

Let's keep the first and multiply it by the inverse of the second.

So, we have:

`(2)/(5)\cdot(7)/(3)`

Now, we just need to multiply straight:

`(2)/(5)\cdot(7)/(3)=(14)/(15)`

The statement is true.