Question

Find 5 rational numbers between 1/7 and 5/8

plz show the solving also​

Answer 1

Step-by-step explanation:

$\\ lcm \: of \: 7and \: 8 = 56 \\ so \: \frac{1}{7} = \frac{8}{56} \: and \: \frac{5}{8} = \frac{35}{56} \\ since \: 8 < 9 < 10 < 11 < 12 < 13 < 35 \\ so \: \frac{8}{56 } < \frac{9}{56} < \frac{ 10}{56} < \frac{ 11}{56} < \frac{12}{56} < \frac{13}{56} < \frac{35}{56} \\ i.e. \: \frac{1}{7 } < \frac{9}{56} < \frac{ 5}{28} < \frac{ 11}{56} < \frac{3}{14} < \frac{13}{56} < \frac{5}{8} \\ so \: five \: rational \: numbers \: between \: \frac{1}{7} \: and \: \frac{5}{8} are \\ \frac{9}{56} \: \frac{ 5}{28} \: \frac{ 11}{56} \: \frac{3}{14} \: \frac{13}{56}$