Question
Insert three fractions between
$\frac{4}{7} \text { and } \frac{3}{4}$
$\frac{4}{7} \text { and } \frac{3}{4}$
✓
Answer
Fraction between $\frac{4}{7}$ and $\frac{3}{4}$
$ =\frac{4+3}{7+4}=\frac{7}{11} $
Fraction between $\frac{4}{7}$ and $\frac{7}{11}$
$ =\frac{4+7}{7+11}=\frac{11}{18} $
and Fraction between $\frac{7}{11}$ and $\frac{3}{4}$
$ =\frac{7+3}{11+4}=\frac{10}{15}=\frac{2}{3} $
Hence, three fractions between $\frac{4}{7}$ and $\frac{3}{4}$ will be $\frac{11}{18}, \frac{7}{11}$ and $\frac{2}{3}$
$ =\frac{4+3}{7+4}=\frac{7}{11} $
Fraction between $\frac{4}{7}$ and $\frac{7}{11}$
$ =\frac{4+7}{7+11}=\frac{11}{18} $
and Fraction between $\frac{7}{11}$ and $\frac{3}{4}$
$ =\frac{7+3}{11+4}=\frac{10}{15}=\frac{2}{3} $
Hence, three fractions between $\frac{4}{7}$ and $\frac{3}{4}$ will be $\frac{11}{18}, \frac{7}{11}$ and $\frac{2}{3}$
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