Question
Simplify: $\frac{-8}{15}+\frac{2}{3}$
✓
Answer
$\frac{-8}{15}+\frac{2}{3}$
$=\frac{-8}{15}+\frac{2\times(-1)}{-3\times(-1)}$
$=\frac{-8}{15}+\frac{-2}{3}$
$LCM$ of $15, 3 = 15$
$\frac{-2}{3}=\frac{-2\times5}{3\times5}=\frac{-10}{15}$
$\therefore \ \frac{-8}{15}+\frac{-2}{3}=\frac{-8}{15}+\frac{-10}{15}$
$=\frac{-8+(-10)}{15}=\frac{-8-10}{15}$
$=\frac{-18}{15}=\frac{-18\div3}{15\div3}=\frac{-6}{5}$
$=\frac{-8}{15}+\frac{2\times(-1)}{-3\times(-1)}$
$=\frac{-8}{15}+\frac{-2}{3}$
$LCM$ of $15, 3 = 15$
$\frac{-2}{3}=\frac{-2\times5}{3\times5}=\frac{-10}{15}$
$\therefore \ \frac{-8}{15}+\frac{-2}{3}=\frac{-8}{15}+\frac{-10}{15}$
$=\frac{-8+(-10)}{15}=\frac{-8-10}{15}$
$=\frac{-18}{15}=\frac{-18\div3}{15\div3}=\frac{-6}{5}$
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