Question
Add and express the sum as a mixed fraction:
$\frac{24}{7}+\frac{-11}{4}$
$\frac{24}{7}+\frac{-11}{4}$
✓
Answer
$\frac{24}{7}+\frac{-11}{4}$
$LCM$ of $7$ and $4$ is $28$
$\frac{24}{7}=\frac{24\times4}{7\times4}=\frac{96}{28}$
$\frac{-11}{4}=\frac{-11\times7}{4\times7}=-\frac{77}{28}$
$\frac{24}{7}+\frac{-11}{4}=\frac{96}{28}+\frac{-77}{28}$
$=\frac{96}{28}-\frac{77}{28}$
$=\frac{96-77}{28}$
$=\frac{19}{28}$
$LCM$ of $7$ and $4$ is $28$
$\frac{24}{7}=\frac{24\times4}{7\times4}=\frac{96}{28}$
$\frac{-11}{4}=\frac{-11\times7}{4\times7}=-\frac{77}{28}$
$\frac{24}{7}+\frac{-11}{4}=\frac{96}{28}+\frac{-77}{28}$
$=\frac{96}{28}-\frac{77}{28}$
$=\frac{96-77}{28}$
$=\frac{19}{28}$
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