Simplify. Your answer should be in lowest terms.
-$\frac { 7 } { 9 } + \left( - \frac { 3 } { 13 } \right)$

A) $\frac { 64 } { 117 }$

B) $\frac { 64 } { 9 }$

C) $\frac { 4 } { 117 }$

D) $\frac { 117 } { 64 }$

Question

Simplify. Your answer should be in lowest terms.
-$\frac { 7 } { 9 } + \left( - \frac { 3 } { 13 } \right)$

A) $\frac { 64 } { 117 }$

B) $\frac { 64 } { 9 }$

C) $\frac { 4 } { 117 }$

D) $\frac { 117 } { 64 }$

Quizplus · Accepted Answer

To simplify $\frac { 7 } { 9 } + \left( - \frac { 3 } { 13 } \right)$, find a common denominator, which is $9 \times 13 = 117$. Convert each fraction: $\frac{7}{9} = \frac{7 \times 13}{117} = \frac{91}{117}$ and $-\frac{3}{13} = -\frac{3 \times 9}{117} = -\frac{27}{117}$. Adding these gives $\frac{91}{117} - \frac{27}{117} = \frac{64}{117}$.

Simplify Your Answer Should Be in Lowest Terms 79+(−313)\frac { 7 } { 9 } + \left( - \frac { 3 } { 13 } \right)97​+(−133​)

Simplify Your Answer Should Be in Lowest Terms $\frac { 7 } { 9 } + \left( - \frac { 3 } { 13 } \right)$