Question

Find a rational number and an irrational number between
$\frac{5}{7} \: and \: \frac{9}{11}$​

Answer 1

Answer:

$\frac{5}{7} \: and \: \frac{9}{11 } \\ \\ \\ \frac{5}{7} = 0.714\\ and \\ \frac{9}{11} = 0.818 \\ \\ so \: an \: irrational \: number \: between \: \frac{5}{7} \: and \: \frac{9}{11 } \: is \: 0.749. \\ \\ \\ and \: one \: rational \: number \: between \: \frac{5}{7} \: and \: \frac{9}{11 } \: is \: \\ by \: taking \: lcm \: \\ \\ \frac{5}{7} \times \frac{11}{11} \: \: \: and\: \: \: \frac{9}{11 } \times \frac{7}{7} \\ \\ \frac{55}{77} \: \: and \: \: \frac{49}{77} \\ \\ so \: one \: of \: rational \: number \: between \: is \: \frac{50}{77}$

Step-by-step explanation:

Hope it helps you dear(◕ᴗ◕✿)

expansion of decimals gives no till infinity that's why I have written only till three decimal places.