How do you write the answer to 13/3 + 17/5133+175 as a mixed number?

1 Answer
Apr 2, 2016

13/3+17/5=7 11/15133+175=71115

Explanation:

Let us first add them. As the Least Common Multiple of denominators 33 and 55 is 1515, first multiply numerator and denominator of the two fractions to be added so that there denominators become 1515 i.e. 13/3133 by 55 and 17/5175 by 33. Then they can be added easily.

So, 13/3+17/5=(13xx5)/(3xx5)+(17xx3)/(5xx3)=65/15+51/15=116/15133+175=13×53×5+17×35×3=6515+5115=11615

Now as in 116/1511615 numerator is greater than denominator, therefore we ought to get mixed number by dividing numerator 116116 by the denominator 1515 and as we get 77 as quotient and 1111 as remainder i.e. 116=15xx7+11116=15×7+11.

Hence, 116/15=7 11/1511615=71115