Question

Question 5(i)
Find five rational numbers between:
$\frac{2}{3}and\frac{4}{5}$

Answer 1

$\frac{2}{3}and\frac{4}{5}$
LCM of 3 and 5 is 15.
$\therefore \frac{2}{3}\times \frac{5}{5}=\frac{10}{15}and\frac{4}{5}\times \frac{3}{3}=\frac{12}{15}Again\frac{10}{15}\times \frac{4}{4}=\frac{40}{60}and\frac{12}{15}\times \frac{4}{4}=\frac{48}{60}\therefore \text{Five rational numbers between}\frac{2}{3}and\frac{4}{5}are\frac{41}{60},\frac{42}{60},\frac{43}{60},\frac{44}{60},\frac{45}{60}$.