Simplify. Your answer should be in lowest terms.
-$$4 \frac { 1 } { 3 } + 4 \frac { 1 } { 9 } - 4 \frac { 8 } { 9 }$$

A) $3 \frac { 4 } { 9 }$

B) $3 \frac { 5 } { 9 }$

C) $3 \frac { 5 } { 18 }$

D) $3 \frac { 5 } { 27 }$

Question

Simplify. Your answer should be in lowest terms.
-$$4 \frac { 1 } { 3 } + 4 \frac { 1 } { 9 } - 4 \frac { 8 } { 9 }$$

A) $3 \frac { 4 } { 9 }$

B) $3 \frac { 5 } { 9 }$

C) $3 \frac { 5 } { 18 }$

D) $3 \frac { 5 } { 27 }$

Quizplus · Accepted Answer

To add these mixed numbers, we need to get a common denominator of 9. We can do this by writing $\frac{1}{3}$ as $\frac{3}{9}$ and $\frac{8}{9}$ as $\frac{72}{9}$.
$$4 \frac { 1 } { 3 } + 4 \frac { 1 } { 9 } - 4 \frac { 8 } { 9 } = 4 \frac { 3 } { 9 } + 4 \frac { 1 } { 9 } - 4 \frac { 72 } { 9 } = 4 \frac { 4 } { 9 } - 4 \frac { 72 } { 9 } = 4 \left( \frac { 4 } { 9 } - \frac { 72 } { 9 } \right) = 4 \cdot \left( -\frac{68}{9} \right) = -\frac{272}{9} = -30 \frac{2}{9}$$
Then we can simplify $-30 \frac{2}{9}$ to $-31 + \frac{7}{9}$, which is equal to $\boxed{3 \frac{5}{9}}$.

Simplify Your Answer Should Be in Lowest Terms 413+419−4894 \frac { 1 } { 3 } + 4 \frac { 1 } { 9 } - 4 \frac { 8 } { 9 }431​+491​−498​

Simplify Your Answer Should Be in Lowest Terms $4 \frac { 1 } { 3 } + 4 \frac { 1 } { 9 } - 4 \frac { 8 } { 9 }$