What is (2/7)/(3/5-3/10) ?

The solution to (2/7)/(3/5-3/10) is 20/21

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simplify (2/7)/(3/5-3/10)

simplify

\frac{\frac{2}{7}}{\frac{3}{5} - \frac{3}{10}}

\frac{20}{21}

Decimal Notation

0.95238 \dots

Solution steps

\frac{\frac{2}{7}}{\frac{3}{5} - \frac{3}{10}}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{2}{7 ( \frac{3}{5} - \frac{3}{10} )}

Simplify

7 (\frac{3}{5} - \frac{3}{10}) : \frac{21}{10}

= \frac{2}{\frac{21}{10}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{2 \cdot 10}{21}

Multiply the numbers:

2 \cdot 10 = 20

= \frac{20}{21}

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