Question
Insert three fractions between $\frac{11}{12}$ and $\frac{2}{3}$
✓
Answer
Fraction between $\frac{11}{12}$ and $\frac{2}{3}$
$ =\frac{11+2}{12+3}=\frac{13}{15} $
Fraction between $\frac{11}{12}$ and $\frac{13}{15}$
$ =\frac{11+13}{12+15}=\frac{24}{27}=\frac{8}{9} $
and Fraction between $\frac{13}{15}$ and $\frac{2}{3}$
$ =\frac{13+2}{15+3}=\frac{15}{18}=\frac{5}{6} $
Hence, three fractions between $\frac{11}{12}$ and $\frac{2}{3}$ will be $\frac{8}{9}, \frac{13}{15}$ and $\frac{5}{6}$
$ =\frac{11+2}{12+3}=\frac{13}{15} $
Fraction between $\frac{11}{12}$ and $\frac{13}{15}$
$ =\frac{11+13}{12+15}=\frac{24}{27}=\frac{8}{9} $
and Fraction between $\frac{13}{15}$ and $\frac{2}{3}$
$ =\frac{13+2}{15+3}=\frac{15}{18}=\frac{5}{6} $
Hence, three fractions between $\frac{11}{12}$ and $\frac{2}{3}$ will be $\frac{8}{9}, \frac{13}{15}$ and $\frac{5}{6}$
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