Question

How do you write the answer to `13/3 + 17/5` as a mixed number?

Answer 1

`13/3+17/5=7 11/15`

Explanation:

Let us first add them. As the Least Common Multiple of denominators `3` and `5` is `15`, first multiply numerator and denominator of the two fractions to be added so that there denominators become `15` i.e. `13/3` by `5` and `17/5` by `3`. Then they can be added easily.

So, `13/3+17/5=(13xx5)/(3xx5)+(17xx3)/(5xx3)=65/15+51/15=116/15`

Now as in `116/15` numerator is greater than denominator, therefore we ought to get mixed number by dividing numerator `116` by the denominator `15` and as we get `7` as quotient and `11` as remainder i.e. `116=15xx7+11`.

Hence, `116/15=7 11/15`