Question

Find five rational numbers lying between 3/5 and 2/3

Answer 1

The 5 rational numbers are

$\frac{91}{150} . \frac{92}{150}. \frac{93}{150} . \frac{94}{150}. \frac{95}{150}$

Step-by-step explanation:

$we \: have \: to \: find \: 5 \: rational \: numbers \: between \: \frac{3}{5} \: and \: \frac{2}{3}$

First we have to make the denominator same ......

So ,,,

$\frac{3}{5} = \frac{3 \times 3}{5 \times 3} = \frac{9}{15} = \frac{9 \times 10}{15 \times 10} = \frac{90}{150}$

$\frac{2}{3} = \frac{2 \times 5}{3 \times 5} = \frac{10}{15} = \frac{10 \times 10}{15 \times 10} = \frac{100}{150}$

Therefore , the 5 rational numbers are ,,,,

$\frac{91}{150} \: and \: \frac{92}{150 \: \:} \: and \: \frac{93}{150} \: and \: \frac{94}{150} \: and \: \frac{95}{150}$

Hope it's helpful ....... ❤