Question

Find three rational numbers lying between 1/5 and 1/4. (By average method )

Answer 1

the. average method mean X+y/2 method. so follow the pic below. HOPE IT HELPS YOU

Answer 2

Rational numbers: $\boxed{\dfrac{9}{40},\dfrac{17}{80},\dfrac{19}{80}}$

Step-by-step explanation:

First rational number.

The two rational numbers are $\dfrac{1}{5}$ and $\dfrac{1}{4}$.

So, a rational number between them is $\dfrac{\dfrac{1}{5}+\dfrac{1}{4}}{2}$

$=\dfrac{\dfrac{4+5}{20}}{2}$

• LCM of 5 and 4 is 20.

$=\dfrac{9}{20\times 2}$

$=\dfrac{9}{40}$

Second rational number.

The two rational numbers are $\dfrac{1}{5}$ and $\dfrac{9}{40}$.

So, a rational number between them is

$\dfrac{\dfrac{1}{5}+\dfrac{9}{40}}{2}$

$=\dfrac{\dfrac{8+9}{40}}{2}$

• LCM of 5 and 40 is 40.

$=\dfrac{17}{40\times 2}$

$=\dfrac{17}{80}$

Third rational number.

The two rational numbers are $\dfrac{9}{40}$ and $\dfrac{1}{4}$.

So, a rational number between them is

$\dfrac{\dfrac{9}{40}+\dfrac{1}{4}}{2}$

$=\dfrac{\dfrac{9+10}{40}}{2}$

• LCM of 5 and 40 is 40.

$=\dfrac{19}{40\times 2}$

$=\dfrac{19}{80}$

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