Question

find three rational numbers between 4/5 and 5/6​

Answer 1

Answer:

We convert the rational numbers 4/5 and 5/6 into rational numbers with the same denominators.

$\frac{4}{5} = \frac{4}{5} \times \frac{6}{6} = \frac{24}{30}$

$\frac{5}{6} = \frac{5}{6} \times \frac{5}{5} = \frac{25}{30}$

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$\frac{24}{30} = \frac{24}{30} \times \frac{4}{4} \: \: \: \: and \: \: \: \frac{25}{30} = \frac{25}{30} \times \frac{4}{4}$

$= \frac{96}{120} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: | = \frac{100}{120}$

$\frac{96}{120} < \frac{97}{120} < \frac{98}{120} < \frac{99}{120} < \frac{100}{120}$

So , the required numbers are

$\pink{ \frac{97}{120} , \: \frac{98}{120} ,and \: \: \frac{99}{12} }$

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