Simplify. Your answer should be in lowest terms.
-$2 \frac { 2 } { 3 } + 7 \frac { 5 } { 12 }$
A) $9 \frac { 1 } { 12 }$

B) $9 \frac { 13 } { 12 }$

C) $10 \frac { 1 } { 12 }$

D) $9 \frac { 7 } { 12 }$

Question

Simplify. Your answer should be in lowest terms.
-$2 \frac { 2 } { 3 } + 7 \frac { 5 } { 12 }$
A) $9 \frac { 1 } { 12 }$

B) $9 \frac { 13 } { 12 }$

C) $10 \frac { 1 } { 12 }$

D) $9 \frac { 7 } { 12 }$

Quizplus · Accepted Answer

To add mixed numbers, we must first convert them to improper fractions. 
$2\frac{2}{3}= \frac{8}{3}$ and $7\frac{5}{12}= \frac{95}{12}$
Adding, we get $\frac{8}{3}+\frac{95}{12} = \frac{32}{12}+\frac{95}{12}=\frac{127}{12}$
Now we need to convert this improper fraction back to a mixed number in lowest terms. 
$127$ divided by $12$ is $10$ with a remainder of $7$. So $\frac{127}{12} = 10\frac{7}{12}$
Therefore, $2\frac{2}{3}+7\frac{5}{12}=10\frac{7}{12}=10\frac{ \frac{7}{1} }{12\div1}=10\frac{1}{12}$ in lowest terms.

Simplify Your Answer Should Be in Lowest Terms 223+75122 \frac { 2 } { 3 } + 7 \frac { 5 } { 12 }232​+7125​

Simplify Your Answer Should Be in Lowest Terms $2 \frac { 2 } { 3 } + 7 \frac { 5 } { 12 }$