Simplify and explain your answer 4/7+2/5(1/5+1/10)

1 answer:

muminat4 years ago

6 0

$\frac{4}{7}+\frac{2}{5}\cdot(\frac{1}{5}+\frac{1}{10})=\frac{4}{7}+\frac{2}{5}\cdot(\frac{2}{10}+\frac{1}{10})=\frac{4}{7}+\frac{2}{5}\cdot\frac{3}{10}=\frac{4}{7}+\frac{1}{5}\cdot\frac{3}{5}\\\\=\frac{4}{7}+\frac{6}{25}=\frac{4\cdot25}{7\cdot25}+\frac{6\cdot7}{25\cdot7}=\frac{100}{175}+\frac{42}{175}=\frac{142}{175}$

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Step-by-step explanation:

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The perimeter of the figure is equal to two times the length side of the square, plus the circumference of six semicircles ( or the circumference of three circles)

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