Question

What is `8 1/4 - 3 2/3`?

Answer 1

`55/12`

Explanation:

First we need to turn these mixed fractions and turn them into improper fractions:

`((4/4)*8 + 1/4) - ((3/3)*3 + 2/3)`

`(32/4+1/4) - (9/3 + 2/3)`

`33/4 - 11/3`

Now we need to get each of these fractions over a common denominator so we can subtract the numerators by multiplying each by the necessary form of `1`. The common denominator in this case can be `12 -> 3 x 4`.

`(3/3*33/4) - (4/4*11/3)`

`99/12 - 44/12`

`(99 - 44)/12`

`55/12`