Question
Simplify:
$\Big(-5\times\frac{2}{15}\Big)-\Big(-6\times\frac{2}{9}\Big)$
$\Big(-5\times\frac{2}{15}\Big)-\Big(-6\times\frac{2}{9}\Big)$
✓
Answer
$\Big(-5\times\frac{2}{15}\Big)-\Big(-6\times\frac{2}{9}\Big)$
$=\frac{-10}{15}-\Big(-\frac{12}{9}\Big)$
$=\frac{-10\times3}{15\times3}-\Big(\frac{-12\times5}{9\times5}\Big)$
$=\frac{-30}{45}-\Big(\frac{-60}{45}\Big)$
$=\frac{-30+60}{45}$
$=\frac{30}{45}$
$=\frac{2}{3}$
$=\frac{-10}{15}-\Big(-\frac{12}{9}\Big)$
$=\frac{-10\times3}{15\times3}-\Big(\frac{-12\times5}{9\times5}\Big)$
$=\frac{-30}{45}-\Big(\frac{-60}{45}\Big)$
$=\frac{-30+60}{45}$
$=\frac{30}{45}$
$=\frac{2}{3}$
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