Perform the indicated operation.
-$$2 \frac { 7 } { 9 } + 2 \frac { 2 } { 5 }$$
A) $2 \frac { 16 } { 45 }$
B) $\frac { 13 } { 14 }$
C) $5 \frac { 8 } { 45 }$
D) $1 \frac { 4 } { 5 }$

Question

Quizplus · Accepted Answer

To solve $2 \frac { 7 } { 9 } + 2 \frac { 2 } { 5 }$, first convert the mixed numbers to improper fractions: $2 \frac { 7 } { 9 } = \frac { 25 } { 9 }$ and $2 \frac { 2 } { 5 } = \frac { 12 } { 5 }$. To add these, find a common denominator, which is 45. Thus, $\frac { 25 } { 9 } = \frac { 125 } { 45 }$ and $\frac { 12 } { 5 } = \frac { 108 } { 45 }$. Adding these gives $\frac { 233 } { 45 }$, which simplifies to $5 \frac { 8 } { 45 }$.

Perform the Indicated Operation 279+2252 \frac { 7 } { 9 } + 2 \frac { 2 } { 5 }297​+252​

Perform the Indicated Operation $2 \frac { 7 } { 9 } + 2 \frac { 2 } { 5 }$