Question

2.
11. Find two rational numbers between 2/3 and 4/5
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Answer 1

$\sf Find \: two \: Rational \: Number \: between \: \frac{2}{3} \: and \: \frac{4}{5}$

$\sf \: Lcm \: of \: denominator \:3 \: and \: 5 = 15$

$\sf \frac{2 \times 5}{3 \times 5} \: and \: \frac{4 \times 3}{5 \times 3} \\ \\ \sf = \frac{10}{15} \: and \: \frac{12}{15}$

Now, Find two Rational numbers .

$\sf \frac{10 \times 2}{15 \times 2} \: and \: \frac{12 \times 2}{15 \times 2} \\ \\ \sf = \frac{20}{30} \: and \: \frac{24}{30} \\ \\ \sf here \: two \: rational \: number = \frac{21}{30} ,\frac{22}{30}$