How do you simplify 1 29/35 div 1 11/15 + 7/15?

Sep 4, 2016

$1 \frac{712}{1365}$

Explanation:

Change to improper fractions first, then do the division.
DO the addition of the fractions last.

$1 \frac{29}{35} \div 1 \frac{11}{15} + \frac{7}{15}$

=$\frac{64}{35} \textcolor{red}{\div \frac{26}{15}} + \frac{7}{15}$

=$\frac{64}{35} \textcolor{red}{\times \frac{15}{26}} + \frac{7}{15} \text{ "larr " cancel}$

=${\cancel{64}}^{32} / {\cancel{35}}^{7} \times {\cancel{15}}^{3} / {\cancel{26}}^{13} + \frac{7}{15}$

=$\frac{96}{91} + \frac{7}{15} = 1 \frac{5}{91} + \frac{7}{15}$

=$1 \frac{5 \times 15 + 7 \times 91}{91 \times 15}$

=$1 \frac{75 + 637}{1365}$

=$1 \frac{712}{1365}$

What awful numbers to work with!