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Answer 1

Answer 5) 5 rational number between $\frac{2}{3}$ & $\frac{4}{5}$ are

First, make Denominator same :

$\implies$$\frac{2}{3} \times \frac{5}{5} = \frac{10}{15}$

$\implies$$\frac{4}{5} \times \frac{3}{3} = \frac{12}{15}$

We know that, we have to find 5 rational number, so multiply by 6.

$\implies$$\frac{10}{15} \times \frac{6}{6} = \frac{60}{90}$

$\implies$$\frac{12}{15} \times \frac{6}{6} = \frac{72}{90}$

•°• 5 rational numbers are $\frac{61}{90}$, $\frac{62}{90}$, $\frac{63}{90}$, $\frac{64}{90}$, $\frac{65}{90}$.

Answer 6) Five rational number greater than -2 are -1, 0, 1, 2 ,3.

Answer 7) Ten rational numbers between $\frac{3}{5}$ & $\frac{3}{4}$ are

L.C.M = 20

$\implies$ $\frac{3}{5} \times \frac{4}{4} = \frac{12}{20}$

$\implies$$\frac{3}{4} \times \frac{5}{5} = \frac{15}{20}$

Multiply with non-zero number:

$\implies$$\frac{12}{20} \times \frac{4}{4} = \frac{48}{80}$

$\implies$$\frac{15}{20} \times \frac{4}{4} = \frac{60}{80}$

•°• ten rational numbers are :

$\frac{49}{80}$, $\frac{50}{80}$, $\frac{51}{80}$, $\frac{52}{80}$, $\frac{53}{80}$, $\frac{54}{80}$, $\frac{55}{80}$, $\frac{56}{80}$, $\frac{57}{80}$, $\frac{58}{80}$

☆ Hence, Solved!!