Question

Write a division problem such that the quotient is the same as 3/8 ÷ 3/5

Answer 1

`(6)/(16):(6)/(10)`

Explanation:

When we divide this we got . First we need to check if we can divide numerator by numerator, denominator by denominator. We can not. Then we multiply first fraction by other but in other we use reciprocal value.

`(3)/(8) *(5)/(3)=(5)/(8)` here we reduce by 3.

Now, let's check for our answer :

`(6)/(16) :(6)/(10)=\\(6)/(16) *(10)/(6)= \\(10)/(16)`we can simplify , divide by 2

`(5)/(8)`

So, quotient is the same.