Question

How do you simplify `35/6 + 7/12 - 1 1/3`?

Answer 1

Make all fractions improper, make the denominators the same, perform the addition and subtraction.

Explanation:

First, make the third fraction improper by multiplying `3` by `1` and adding `1`. So, it will turn out to be

`1 1/3 = (3 xx 1 + 1)/3 = 4/3`

So `12` will be our common denominator.

Multiply `35/6` times `2/2` in order to make the denominator equal to twelve. Likewise, multiply `4/3` times `4/4` to make the denominator equal to twelve.

`35/6 xx 2/2 = 70/12`

`4/3 xx 4/4 = 16/12`

Once this is done, you have all your fractions under a common denominator, and you can now add and subtract.

`70/12 + 7/12 - 16/3 = (70 + 7 - 16)/12 = 61/12`

This result cannot be simplified further as `61` and `12` do not have common factors. So, your result would end up being `61/12`.

Answer 2

`61/12 or 5 1/12`

Explanation:

`35/6+7/12-1 1/3`

`:.=35/6+7/12-4/3`

`:.=(70+7-16)/12`

`:.=61/12 or 5 1/12`