Question

inside 3 rational number between 3/5 and 2/3​

Answer 1

Answer:

the rational no as follows

2 by 5 4 by 5 5 by 5

Answer 2

Step-by-step explanation:

3 / 5 and 2 / 3

L.C.M of 5 and 3 = 15

so

$\frac{3}{5} \: and \: \frac{2}{3} \\ \frac{3 \times 3}{5 \times 3} \: and \: \frac{2 \times 5}{3 \times 5} \\ \frac{9}{15} \: and \: \frac{10}{15}$

now multiplying the 2 rational no. by 10 in both denominator anf numerator

$\frac{9 \times 10}{15 \times 10} \: and \: \frac{10 \times 10}{15 \times 10 } \\ \frac{90}{150} \: and \: \frac{100}{150} \\ \\ we \: know \: that \\ \frac{90}{150} < \frac{91}{150} < \frac{92}{150} < \frac{93}{150} < \frac{94}{150} < \frac{95}{150} < \frac{96}{150} < \frac{97}{150} < \frac{98}{150} < \frac{99}{150} < \frac{100}{150}$

now choose 2 numbers between 91 / 150 and 100 / 150

so 3 rational no. between 3 / 5 and 2 / 3 are

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

note :you can choose any no. between 3 / 5 and 2 / 3

hope it help