Question

How do you simplify `(1+2/3)/(3/4-1/3)`?

Answer 1

You work out the two parts separately into single proper fractions first.

Explanation:

Top: `1+2/3=3/3+2/3=(3+2)/3=5/3`

Bottom: `3/4-1/3=(3/3xx3/4)-(4/4xx1/3)=`
`9/12-4/12=5/12`

So now we're left with `(5/3)div(5/12)`

Division by a fraction can be done by multiplying with the fraction turned 'upside down':
`=(5/3)xx(12/5)=cancel5/cancel3xx(cancel3xx4)/cancel5=4`