College

Simplify the following expression:

\[ 7 \frac{2}{15} + 5 \frac{2}{3} + 9 \frac{13}{15} \]

Answer :

Hello!

[tex] \bf 7 \frac{2}{15} + 5 \frac{2}{3} + 9 \frac{13}{15} = \\ \\ \bf = \frac{7 \times 15 + 2}{15} + \frac{5 \times 3 + 2}{3} + \frac{9 \times 15 + 13}{15} = \\ \\ \bf = \frac{ 105 + 2}{15} + \frac{15 + 2}{3} + \frac{135 + 13}{15} = \\ \\ \bf = \frac{107}{15} + \frac{17}{3} + \frac{148}{15} = \\ \\ \bf = \frac{255}{15} + \frac{17 \times 5}{3 \times 5} = \\ \\ \bf = \frac{255}{15} + \frac{85}{15} = \\ \\ \bf = \frac{340}{15} \Leftrightarrow \frac{340 \div 5}{15 \div 5} = \red{ \boxed{ \bf \frac{68}{3} } } [/tex]

The answer is 68/3.

good luck!:)