write 4 rational number between 2 and 3 ;7/11 and 5/11 - Maths - Rational Numbers

Question

write 4 rational number between 2 and 3 ;7/11 and 5/11

Chetna Khanna · Accepted Answer

(a) 4 rational numbers between 2 and 3 We can rewrite 2 and 3 as $\frac{16}{8}$ and $\frac{24}{8}$ respectively (As $\frac{16}{8} = 2 and \frac{24}{8} = 3$ ) Now, 2 < 3 $\Rightarrow \frac{16}{8} < \frac{24}{8}$ So, rational numbers between $\frac{16}{8}$ and $\frac{24}{8}$ or between 2 and 3 are: $\frac{16}{8} < \frac{17}{8} < \frac{18}{8} < \frac{19}{8} < \frac{20}{8} < \frac{21}{8} < \frac{22}{8} < \frac{23}{8} < \frac{24}{8}$ So, you can choose any four rational numbers from the given numbers (b) 4 rational number between $\frac{5}{11} and \frac{7}{11}$ Multiplying the numerator and denominator of both numbers by 3 i e , $\frac{5 \times 3}{11 \times 3} (= \frac{5}{11}) and \frac{7 \times 3}{11 \times 3} [= \frac{7}{11}] = \frac{15}{33} and \frac{21}{33}$ Now $\frac{15}{33} < \frac{21}{33}$ So, $\frac{15}{33} < \frac{16}{33} < \frac{17}{33} < \frac{18}{33} < \frac{19}{33} < \frac{20}{33} < \frac{21}{33}$ are the rational numbers between $\frac{15}{33} a n d \frac{21}{33}$ or between $\frac{5}{11} and \frac{7}{11}$ So, you can choose any four rational numbers from the given numbers