Question
Insert three fractions between $\frac{1}{2}$ and $\frac{5}{7}$
✓
Answer
Fraction between $\frac{1}{2}$ and $\frac{5}{7}$
$ =\frac{1+5}{2+7}=\frac{6}{9}=\frac{2}{3} $
Fraction between $\frac{1}{2}$ and $\frac{2}{3}$
$ =\frac{1+2}{2+3}=\frac{3}{5} $
and Fraction between $\frac{2}{3}$ and $\frac{5}{7}$
$ =\frac{2+5}{3+7}=\frac{7}{10} $
Hence, three fractions between $\frac{1}{2}$ and $\frac{5}{7}$ will be $\frac{3}{5}, \frac{2}{3}$ and $\frac{7}{10}$
$ =\frac{1+5}{2+7}=\frac{6}{9}=\frac{2}{3} $
Fraction between $\frac{1}{2}$ and $\frac{2}{3}$
$ =\frac{1+2}{2+3}=\frac{3}{5} $
and Fraction between $\frac{2}{3}$ and $\frac{5}{7}$
$ =\frac{2+5}{3+7}=\frac{7}{10} $
Hence, three fractions between $\frac{1}{2}$ and $\frac{5}{7}$ will be $\frac{3}{5}, \frac{2}{3}$ and $\frac{7}{10}$
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