Question
Insert three fractions between $\frac{3}{8}$ and $\frac{6}{11}$
✓
Answer
Fraction between $\frac{3}{8}$ and $\frac{6}{11}$
$ =\frac{3+6}{8+11}=\frac{9}{19} $
Fraction between $\frac{3}{8}$ and $\frac{9}{19}$
$ =\frac{3+9}{8+19}=\frac{12}{27}=\frac{4}{9} $
and Fraction between $\frac{9}{19}$ and $\frac{6}{11}$
$ =\frac{9+6}{19+11}=\frac{15}{30}=\frac{1}{2} $
Hence, three fractions between $\frac{3}{8}$ and $\frac{6}{11}$ will be $\frac{4}{9}, \frac{9}{19}$ and $\frac{1}{2}$
$ =\frac{3+6}{8+11}=\frac{9}{19} $
Fraction between $\frac{3}{8}$ and $\frac{9}{19}$
$ =\frac{3+9}{8+19}=\frac{12}{27}=\frac{4}{9} $
and Fraction between $\frac{9}{19}$ and $\frac{6}{11}$
$ =\frac{9+6}{19+11}=\frac{15}{30}=\frac{1}{2} $
Hence, three fractions between $\frac{3}{8}$ and $\frac{6}{11}$ will be $\frac{4}{9}, \frac{9}{19}$ and $\frac{1}{2}$
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