Question

List three rational numbers between -3/5 and -2/3​

Answer 1

$\huge \colorbox{pink}{Solution}$

$\frac{ - 3}{5} = \frac{ - 3 \times 3}{5 \times 3} = \frac{ - 9}{15} \\ \frac{ -2 }{3} = \frac{ - 2 \times 5}{3 \times 5} = \frac{ - 10}{15} \\ \frac{ - 9 \times 10}{15 \times 10} = \frac{ - 90}{150} \\ \frac{ - 10 \times 10}{15 \times 10} = \frac{ - 100}{150} \\ rational \: number \: between \: them \\ are \\ \frac{ - 89}{150} \frac{ - 88}{150} \frac{87}{150}$

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Answer 2

$\frac{ - 3}{5} and \: \frac{ - 2}{3} \: \: will \: have \:( lcm = 15) \\ so \: \: \frac{ - 3 \times 3}{5 \times 3} and \: \frac{ - 2 \times 5}{3 \times 5} \\ = \frac{ - 9}{15} and \: \frac{ - 10}{15} \\ now \frac{ - 9 \times 10}{15 \times 10} and \: \frac{ - 10 \times 10}{15 \times 10} \\ \frac{ - 90}{150} and \: \frac{ - 100}{150} \\ they \: can \: have \: many \: numbers \: in \: between \: \\ like \: \frac{ - 91}{150} \: \frac{ - 92}{150} \: \frac{ - 93}{150} etc.$

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