Question

How do you simplify `25 1/3-17 5/6`?

Answer 1

`15/2` or `7 1/2`

Explanation:

First we need to convert each Mixed Fraction to an improper fraction by multiplying each integer by the appropriate form of `1` and the adding it to the fraction:

`((3/3 xx 25) + 1/3) - ((6/6 *xx 17) + 5/6)`

`(75/3 + 1/3) - (102/6 + 5/6)`

`76/3 - 107/6`

Next, in order to subtract the two fractions we must get them over a common denominator, in this case `6` by multiplying the fraction by the appropriate form of `1`:

`(2/2 xx 76/3) - 107/6`

`152/6 - 107/6`

`(152 - 107)/6`

`45/6`

`3/3 xx 15/2`

`1 xx 15/2`

`15/2`

Or

`(14 + 1)/2`

`14/2 + 1/2`

`7 + 1/2`

`7 1/2`