Question

Find 4 rational numbers between 2by3 and 1by2

Answer 1

Answer:

16/30,17/30/18/30,19/30

Answer 2

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❥ Given :

$\frac {2}{3} \; \: and \: \; \frac {1}{2}$

❥ To Find :

The 4 rational number between $\: \frac {2}{3} \:$ and $\: \frac {1}{2}$

❥ Solution :

We know that,

There were infinite rational number between $\: \frac {2}{3} \:$ and $\: \frac {1}{2}$

We have to find 4 rational number between $\: \frac {2}{3} \:$ and $\: \frac {1}{2} \:$.

So, we have to multiply $\: \frac {2}{3} \:$ and $\: \frac {1}{2} \:$ by that number so that denominators are same.

→ $\frac {2}{3} \times \frac {2}{2} = \frac {4}{6}$

→ $\frac {1}{2} \times \frac {3}{3} = \frac {3}{6}$

Four rational numbers are not possible between $\: \frac {4}{6} \:$ and $\: \frac {3}{6} \:$, so we have to multiply further more.

We have to find four rational number between $\: \frac {4}{6} \:$ and $\: \frac {3}{6} \:$, so we have to multiply $\: \frac {4}{6} \:$ and $\: \frac {3}{6} \:$ by 5.

→ $\frac {4}{6} \times \frac {5}{5} = \frac {20}{30}$

→ $\frac {3}{6} \times \frac {5}{5} = \frac {15}{30}$

$\therefore$ So, the four rational number between $\: \frac {2}{3} \:$ and $\: \frac {1}{2} \:$ are :

➛ $\frac{16}{30}, \: \frac{17}{30}, \: \frac{18}{30}, \: \frac{18}{30}, \: \frac{19}{30}$

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