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Question

Mathematics Question on Number Systems

Find five rational numbers between 35\frac{3}{5} and 45\frac{4}{5}.

Answer

To find five rational numbers between 35\frac{3}{5}, and45\frac{4}{5}.

There are infinite rational numbers between.

35=3×65×6=1830\frac{3}{5}=\frac{3×6}{5×6}=\frac{18}{30}

45=4×65×6=2430\frac{4}{5}=\frac{4×6}{5×6}=\frac{24}{30}

Therefore, rational numbers between 35\frac{3}{5} and 45\frac{4}{5} are

1930,2030,2130,2230,2330,\frac{19}{30},\frac{20}{30},\frac{21}{30},\frac{22}{30},\frac{23}{30},