Question

6 rational nos between 2/3 and 1/4​

Answer 1

Answer:

32/ 120 , 33/120, 34/ 120, 35/ 120, 36/ 120, 37/ 120

Step-by-step explanation:

$\\ \frac{2}{3} \: and \: \frac{1}{4} \\ lcm = 12 \\ \frac{2 \times 4}{3 \times 4} \: and \: \frac{1 \times 3}{4 \times 3} \\ = \frac{8}{12} ......... \frac{3}{12} \\ since \: there \: are \: less \: than \: 6 \: rationl \: numbers \: \\ we \: have \: to \: multiply \: with \: a \: greater \: number \\ so \: i \: am \: mulptiplying \: with \: 10 \\ \\ \frac{8 \times 10}{12 \times 10} ........ \frac{3 \times 10}{12 \times 10} \\ = \frac{80}{120} ......... \frac{30}{120} \\ therefore \: the \: 6 \: rationl \: numbers \: between \: \frac{2}{3} and \: \frac{1}{4} are \\ \frac{32}{120} \: \: \: \frac{33}{120} \: \: \: \frac{34}{120} \: \: \: \frac{35}{120} \: \: \: \frac{36}{120} \: \: \: \ \frac{37}{120}$