Question

Q1.Find three rational numbers between:
(i) 1/3 and 5/4 (ii) 3/7 and 2/7 (iii) −3/5 and −1/3

Answer 1

Answer:

Part 1: $\text{The three rational number are }\frac{5}{12},\frac{6}{12},\frac{7}{12}$

Part 2: $\text{The three rational number are }\frac{9}{28},\frac{10}{28},\frac{11}{28}$

Part 3: $\text{The three rational number are }\frac{-6}{15},\frac{-7}{15},\frac{-8}{15}$  

Step-by-step explanation:

Given two rational numbers we have to find three rational numbers between these two.

Part 1: $\text{The rational numbers between }\frac{1}{3}\text{ and }\frac{5}{4}$

$\frac{1}{3}\times \frac{4}{4}=\frac{4}{12}$

$\frac{5}{4}\times \frac{3}{3}=\frac{15}{12}$

$\text{The three rational number are }\frac{5}{12},\frac{6}{12},\frac{7}{12}$

Part 2: $\text{The rational numbers between }\frac{3}{7}\text{ and }\frac{2}{7}$

$\frac{3}{7}\times \frac{4}{4}=\frac{12}{28}$

$\frac{2}{7}\times \frac{4}{4}=\frac{8}{28}$

$\text{The three rational number are }\frac{9}{28},\frac{10}{28},\frac{11}{28}$

Part 3: $\text{The rational numbers between }\frac{-3}{5}\text{ and }\frac{-1}{3}$

$\frac{-3}{5}\times \frac{3}{3}=\frac{-9}{15}$

$\frac{-1}{3}\times \frac{5}{5}=\frac{-5}{15}$

$\text{The three rational number are }\frac{-6}{15},\frac{-7}{15},\frac{-8}{15}$