Question

Please answer this! I know the answer but I need “explain your answer” how did you get it?

Please!

Answer 1

20 divided by 15/16 is

20 times 16/15 which is

(4*16)/3=

`(64)/(3)`=

`21(1)/(3)`

Answer 2

Explanation:

20 ÷
`(15)/(16)`

Can be rewritten as:

`(20)/(1)`÷
`(15)/(16)`

Now we multiply, by keeping the first fraction, and flipping the second.

`(20)/(1)` *
`(16)/(15)`

We can reduce 20 and 15 by 5, to make it easier to solve:

`(4)/(1)` *
`(16)/(3)`

Not lets solve:

`(4)/(1)` *
`(16)/(3)`

`(64)/(3)` =
`21(1)/(3)` =
`21.{\overline {\rm {3}}}` (the 3 is repeating).

So, in short words, keep the 20, flips the fraction (
`(15)/(16)`) to (
`(16)/(15)`), and then reduce the 20 to 4, and the fraction (
`(16)/(15)`) to
`(16)/(3)` , and then multiply.

Hope that helps!