Add or subtract as indicated. Write the answer in lowest terms.
-$\frac{2}{r}+\frac{3}{r-8}$

A) $\frac{16 r-5}{r(8-r)}$

B) $\frac{5 r-16}{r(8-r)}$

C) $\frac{5 r-16}{r(r-8)}$

D) $\frac{16 r-5}{r(r-8)}$

Question

Add or subtract as indicated. Write the answer in lowest terms.
-$\frac{2}{r}+\frac{3}{r-8}$

A) $\frac{16 r-5}{r(8-r)}$

B) $\frac{5 r-16}{r(8-r)}$

C) $\frac{5 r-16}{r(r-8)}$

D) $\frac{16 r-5}{r(r-8)}$

Quizplus · Accepted Answer

To add fractions, you need a common denominator. Here, the common denominator is $r(r-8)$. So, $\frac{2}{r}+\frac{3}{r-8} = \frac{2(r-8)}{r(r-8)} + \frac{3r}{r(r-8)} = \frac{2r-16+3r}{r(r-8)} = \frac{5r-16}{r(r-8)}$.

Add or Subtract as Indicated 2r+3r−8\frac{2}{r}+\frac{3}{r-8}r2​+r−83​ A) 16r−5r(8−r)\frac{16 r-5}{r(8-r)}r(8−r)16r−5​ B) 5r−16r(8−r)\frac{5 r-16}{r(8-r)}r(8−r)5r−16​ C) 5r−16r(r−8)\frac{5 r-16}{r(r-8)}r(r−8)5r−16​

Add or Subtract as Indicated $\frac{2}{r}+\frac{3}{r-8}$ A) $\frac{16 r-5}{r(8-r)}$ B) $\frac{5 r-16}{r(8-r)}$ C) $\frac{5 r-16}{r(r-8)}$