Question
Find the sum
$\frac{-3}{-11}+\frac{5}{9}$
$\frac{-3}{-11}+\frac{5}{9}$
✓
Answer
We have, $\frac{-3}{-11}+\frac{5}{9}$ or $\frac{3}{11}+\frac{5}{9}$
$\because$ LCM of 11 and $9=99$
$\therefore \frac{3}{11}=\frac{3 \times 9}{11 \times 9}=\frac{27}{99}$ and $\frac{5}{9}=\frac{5 \times 11}{9 \times 11}=\frac{55}{99}$
Now, $\frac{-3}{-11}+\frac{5}{9}=\frac{27}{99}+\frac{55}{99}=\frac{27+55}{99}=\frac{82}{99}$
$\because$ LCM of 11 and $9=99$
$\therefore \frac{3}{11}=\frac{3 \times 9}{11 \times 9}=\frac{27}{99}$ and $\frac{5}{9}=\frac{5 \times 11}{9 \times 11}=\frac{55}{99}$
Now, $\frac{-3}{-11}+\frac{5}{9}=\frac{27}{99}+\frac{55}{99}=\frac{27+55}{99}=\frac{82}{99}$
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