(1)/(2) / (1)/(5) * (2)/(5)

Question

`(1)/(2) / (1)/(5) * (2)/(5)`

Answer 1

Divide by a fraction means the same as multiply by its reciprocal.

`(1)/(2)/(1)/(5)*(2)/(5)=(1)/(2)*(5)/(1)*(2)/(5)\\\\=(1)/(\\ot2_1)*(5)/(1)*(\\ot2^1)/(5)=(1)/(1)*(\\ot5^1)/(1)*(1)/(\\ot5_1)=1*1*1=1\\\\Answer:\ \boxed{(1)/(2)/(1)/(5)*(2)/(5)=1}`

Answer 2

`(25)/(4)`

Explanation:

You have to use Order of Operations so you MUST multiply first which gave me
`(2)/(25)` and in order to divide that you must make it a reciprocal and that's how I got the answer