Question

What is 21/40 divided by 23/80

Answer 1

`\Large \boxed{(42)/(23)}`

Explanation:

`\displaystyle (21)/(40) / (23)/(80)`

Performing reciprocal of the second fraction.

`\Rightarrow \displaystyle (21)/(40) \cdot (80)/(23)`

Multiplying both fractions.

`\Rightarrow \displaystyle (1680)/(920)`

Simplifying the fraction.

`\Rightarrow \displaystyle (42(40))/(23(40))`

`\Rightarrow \displaystyle (42)/(23)`