Simplify. Your answer should be in lowest terms.
-$$9 \frac { 2 } { 9 } + 6 \frac { 5 } { 8 } - 3 \frac { 1 } { 6 }$$
A) $12 \frac { 49 } { 72 }$

B) $12 \frac { 4 } { 17 }$

C) $18 \frac { 73 } { 72 }$

D) $12 \frac { 1 } { 36 }$

Question

Simplify. Your answer should be in lowest terms.
-$$9 \frac { 2 } { 9 } + 6 \frac { 5 } { 8 } - 3 \frac { 1 } { 6 }$$
A) $12 \frac { 49 } { 72 }$

B) $12 \frac { 4 } { 17 }$

C) $18 \frac { 73 } { 72 }$

D) $12 \frac { 1 } { 36 }$

Quizplus · Accepted Answer

First, convert the mixed numbers to improper fractions: $9 \frac{2}{9} = \frac{83}{9}$, $6 \frac{5}{8} = \frac{53}{8}$, and $3 \frac{1}{6} = \frac{19}{6}$. To add or subtract these, find a common denominator, which is 72. Convert each fraction: $\frac{83}{9} = \frac{664}{72}$, $\frac{53}{8} = \frac{477}{72}$, and $\frac{19}{6} = \frac{228}{72}$. Perform the operations: $\frac{664 + 477 - 228}{72} = \frac{913}{72} = 12 \frac{49}{72}$.

Simplify Your Answer Should Be in Lowest Terms 929+658−3169 \frac { 2 } { 9 } + 6 \frac { 5 } { 8 } - 3 \frac { 1 } { 6 }992​+685​−361​

Simplify Your Answer Should Be in Lowest Terms $9 \frac { 2 } { 9 } + 6 \frac { 5 } { 8 } - 3 \frac { 1 } { 6 }$