Question

How do you subtract `13\frac { 5} { 9} - 9\frac { 2} { 3}`?

Answer 1

See a solution process below:

Explanation:

First, we need to convert the mixed numbers to improper fractions:

`13 5/9 - 9 2/3 => (13 + 5/9) - (9 + 2/3) =>`

`([9/9 xx 13] + 5/9) - ([3/3 xx 9] + 2/3) =>`

`(117/9 + 5/9) - (27/3 + 2/3) =>`

`122/9 - 29/3`

Next, we need to put the fractions over a common denominator:

`122/9 - (3/3 xx 29/3) =>`

`122/9 - 87/9`

We can then subtract the numerators over the common denominator:

`(122 - 87)/9 =>`

`35/9`

Now, if necessary, we can convert the improper fraction back to a mixed number:

`35/9 => (27 + 8)/9 => 27/9 + 8/9 => 3 + 8/9 =>`

`3 8/9`