Question
Simplify:
$\frac{-2}{5}-\frac{-3}{10}-\frac{-4}{7}$
$\frac{-2}{5}-\frac{-3}{10}-\frac{-4}{7}$
✓
Answer
$\frac{-2}{5}-\frac{-3}{10}-\frac{-4}{7}$
$=\Big(\frac{-2\times14}{5\times14}-\frac{-3\times7}{10\times7}-\frac{-4\times10}{7\times10}\Big)$
$=\Big(\frac{-28}{70}-\frac{-21}{70}-\frac{-40}{70}\Big)$
$=\Big(\frac{-28+21+40}{70}\Big)$
$=\Big(\frac{33}{70}\Big)$
$=\Big(\frac{-2\times14}{5\times14}-\frac{-3\times7}{10\times7}-\frac{-4\times10}{7\times10}\Big)$
$=\Big(\frac{-28}{70}-\frac{-21}{70}-\frac{-40}{70}\Big)$
$=\Big(\frac{-28+21+40}{70}\Big)$
$=\Big(\frac{33}{70}\Big)$
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