# Given expression is, \frac{\frac{2}{5}}{\frac{3}{10}}=\frac{15}{10\fra

Given expression is,
$\frac{\frac{2}{5}}{\frac{3}{10}}=\frac{15}{10\frac{1}{2}}$
We need to determine whether the ratios are equal.
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AGRFTr
Fractions are equal, if cross products are equal.
$\frac{\frac{2}{5}}{\frac{3}{10}}=\frac{15}{10\frac{1}{2}}$
$\frac{2}{5}\cdot \frac{10}{3}=\frac{15}{\frac{21}{2}}$
$\frac{4}{3}=\frac{30}{21}$
$4\cdot 21=30\cdot 3$
$84=90$ We obtain true statement.
Hence, give fractions are equal.