Question

10 rational no between 3/5 and 4/7

Answer 1

3/5=21/35=420/700
4/7=20/35=400/700
Hence 10 rational numbers between 4/7 and 3/5 are 401/700, 402/700, 403/700,........., 410/700

Answer 2

[ first of all we need to make the dinominators of both numbers equal until we get 10 rational no. between them ]

$\frac{3}{5} = \frac{3 \times 7}{5 \times 7} = \frac{21}{35} = \frac{21 \times 11}{35 \times 11} = \frac{231}{385}$

$\frac{4}{7} = \frac{4 \times 5}{7 \times 5} = \frac{20}{35} = \frac{20 \times 11}{35 \times 11} = \frac{220}{385}$

♦ Ten rational no. between 3/5 & 4/7 are

$\frac{221}{385} \: \frac{222}{385} \: \frac{223}{385} \: \frac{224}{385} \: \frac{225}{385} \: \frac{226}{385} \: \frac{227}{385} \: \frac{228}{385} \: \frac{229}{385} \: \frac{300}{385}$