Insert three fractions between 2 5 and 4 9 - Vidyadip

Question

Insert three fractions between
$\frac{2}{5} \text { and } \frac{4}{9}$

✓

Answer

Fraction between $\frac{2}{5}$ and $\frac{4}{9}$
$ =\frac{2+4}{5+9}=\frac{6}{14}=\frac{3}{7} $
Fraction between $\frac{2}{5}$ and $\frac{3}{7}$
$ =\frac{2+3}{5+7}=\frac{5}{12} $
and Fraction between $\frac{3}{7}$ and $\frac{4}{9}$
$ =\frac{3+4}{7+9}=\frac{7}{16} $
Hence, three fractions between $\frac{2}{5}$ and $\frac{4}{9}$ will be $\frac{5}{12}, \frac{3}{7}$ and $\frac{7}{16}$

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