Find five rational between 3 5 and 2 3

Asked by admin @ 17/08/2021 in Math viewed by 296 People

Find five rational number between 3/5 and 2/3

Answered by admin @ 17/08/2021

Answer:

$\text{ The 5 rational numbers are }\frac{91}{150}, \frac{92}{150}, \frac{93}{150}, \frac{94}{150}, \frac{95}{150}$

Step-by-step explanation:

We have to find 5 rational numbers between

$\frac{3}{5}\text{ and }\frac{2}{3}$

First we have to make the denominator same

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

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

The 5 rational numbers are

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

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