Question
Find the sum $\frac{-9}{10}+\frac{22}{15}$
✓
Answer
As denominators are different find the $LCM$ of $10 \& 15$
$\frac{-9}{10}+\frac{22}{15}$
$LCM$ of $10$ and $15$ is $30.$
$-9\over 10 $=$-9\times3\over 10\times3$=$-27\over 30$
$22\over 15$=$22\times 2\over 15\times2$=$44\over 30$
Thus, $\frac{-9}{10}+\frac{22}{15}=\frac{-27}{30}+\frac{44}{30}$
$\frac{-27+44}{30}=\frac{17}{30}$
$\frac{-9}{10}+\frac{22}{15}$
$LCM$ of $10$ and $15$ is $30.$
$-9\over 10 $=$-9\times3\over 10\times3$=$-27\over 30$
$22\over 15$=$22\times 2\over 15\times2$=$44\over 30$
Thus, $\frac{-9}{10}+\frac{22}{15}=\frac{-27}{30}+\frac{44}{30}$
$\frac{-27+44}{30}=\frac{17}{30}$
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