Simplify. Your answer should be in lowest terms.
-$$6 \frac { 7 } { 13 } - 4 \frac { 4 } { 13 } + 8 \frac { 1 } { 13 }$$

A) $10 \frac { 4 } { 39 }$

B) $10 \frac { 4 } { 13 }$

C) $- 6 \frac { 4 } { 13 }$

D) $10 \frac { 2 } { 13 }$

Question

Simplify. Your answer should be in lowest terms.
-$$6 \frac { 7 } { 13 } - 4 \frac { 4 } { 13 } + 8 \frac { 1 } { 13 }$$

A) $10 \frac { 4 } { 39 }$

B) $10 \frac { 4 } { 13 }$

C) $- 6 \frac { 4 } { 13 }$

D) $10 \frac { 2 } { 13 }$

Quizplus · Accepted Answer

To subtract mixed fractions, we need to make sure they have a common denominator. To do this, we find the least common multiple (LCM) of 13 and use that as our denominator. The LCM of 13 is 13, so we convert the mixed fractions:
$$6 \frac{7}{13} - 4 \frac{4}{13} + 8 \frac{1}{13} = \frac{6 \times 13 + 7}{13} - \frac{4\times 13 + 4}{13} + \frac{8 \times 13 + 1}{13}$$
$$= \frac{85}{13} - \frac{56}{13} + \frac{105}{13} = \frac{85 - 56 + 105}{13} = \frac{134}{13}$$
This fraction is already in lowest terms, and we can see that it is equivalent to $\boxed{\textbf{(B)}\ 10\ \frac{4}{13}}$.

Simplify Your Answer Should Be in Lowest Terms 6713−4413+81136 \frac { 7 } { 13 } - 4 \frac { 4 } { 13 } + 8 \frac { 1 } { 13 }6137​−4134​+8131​

Simplify Your Answer Should Be in Lowest Terms $6 \frac { 7 } { 13 } - 4 \frac { 4 } { 13 } + 8 \frac { 1 } { 13 }$