Question
Find the sum
$\frac{-9}{10}+\frac{22}{15}$
$\frac{-9}{10}+\frac{22}{15}$
✓
Answer
We have, $\frac{-9}{10}+\frac{22}{15}$
$\because$ LCM of denominators 10 and $15=30$
$
\therefore
\frac{-9}{10}=\frac{-9 \times 3}{10 \times 3}=\frac{-27}{30}
$
and $\frac{22}{15}=\frac{22 \times 2}{15 \times 2}=\frac{44}{30}$
$\therefore
\frac{-9}{10}+\frac{22}{15}=\frac{-27}{30}+\frac{44}{30}=\frac{-27+44}{30}=\frac{17}{30}$
$\because$ LCM of denominators 10 and $15=30$
$
\therefore
\frac{-9}{10}=\frac{-9 \times 3}{10 \times 3}=\frac{-27}{30}
$
and $\frac{22}{15}=\frac{22 \times 2}{15 \times 2}=\frac{44}{30}$
$\therefore
\frac{-9}{10}+\frac{22}{15}=\frac{-27}{30}+\frac{44}{30}=\frac{-27+44}{30}=\frac{17}{30}$
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