Question

Write in simplest form

Answer 1

Find the commomon denominator of 6 and 5.

It's 6 · 5 = 30.

`(5)/(6)=(5\cdot5)/(6\cdot5)=(25)/(30)\\\\(1)/(5)=(1\cdot6)/(5\cdot6)=(6)/(30)`

`\left((5)/(6)-(1)/(5)\right)/(4)/(5)=\left((25)/(30)-(6)/(30)\right)/(4)/(5)=(25-6)/(30)/(4)/(5)=(19)/(30)/(4)/(5)`

Divide by fraction is the same like multiply by reciprocal of this fraction:

`=(19)/(30)\cdot(5)/(4)=(19)/(6)\cdot(1)/(4)=(19)/(24)`