 # NCERT Solutions Class 8 Mathematics Solutions for Exercise 1.2.2 in Chapter 1 - Rational Numbers

Q5) Find five rational numbers between.

(i)\frac{2}{3}\ \&\ \frac{4}{5}

(ii)\frac{-3}{2}\ \&\ \frac{5}{3}

(iii)\frac{1}{4}\ \&\ \frac{1}{2}

Solution 5:

(i): Following numbers can be written as,

Equalizing the denomintor,

\frac{2\times15}{3\times15}\ and\ \frac{4\times9}{5\times9}=\ \frac{30}{45}\ and\ \frac{36}{45}

Therefore, \frac{31}{45},\ \frac{32}{45},\ \frac{33}{45},\ \frac{34}{45},\ \frac{35}{45} are the five numbers.

(ii): Following numbers can be written as,

Equalizing the denominator,

\frac{-3\ \times3}{2\times3}\ and\ \frac{5\times2}{3\times2}=\ \frac{-9}{6}\ and\ \frac{10}{6}

Therefore, \frac{-8}{6},\ \frac{-7}{6},\ -1,\ \frac{-5}{6}and\ \frac{1}{6} are the five numbers.

(iii): Following numbers can be written as,

equalizing denominator,

\frac{1\times5}{4\times5}\ and\ \frac{1\times10}{2\times10}\ =\ \frac{5}{20}\ and\ \frac{10}{20}

Therefore, \frac{6}{20},\ \frac{7}{20},\ \frac{8}{20},\ \frac{9}{20} are the following numbers.

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