Question

find out three rational number between 1/5 and 3/4​

Answer 1

Given :

• 1/5 and 3/4

To find :

• Three rational numbers

Solution :

• Since, the denominator are not equal, we have to find the LCM of 5 and 4 and it is 20.
• We have to find three rational numbers between 1/5 and 3/4.

$\sf = \dfrac{1}{5} \: and \: \dfrac{3}{4}$

Now,

$\sf = \dfrac{1 \times4 }{5 \times \: 4 } \: and \: \dfrac{3 \times 5}{4 \times 5}$

$\sf = \dfrac{4 }{20 } \: and \: \dfrac{15}{20}$

Now, since the denominator's are same, we can find out easily.

$\sf = \dfrac{5}{20 } ,\dfrac{6}{20} , \dfrac{7}{20}$

Therefore, the three rational numbers between 1/5 and 3/4

are 5/20, 6/20 and 7/20.

Answer 2

★To find:-

• 3 rational numbers between 1/5 and 3/4.

★Given numbers:-

• 1/5 and 3/4

★Required solution:-

❍ We know that if we multiply any rational number with 1, the answer is always the number itself.

So,

❍ By taking LCM of denominators,

$\\ \frac{1}{5} \times \frac{4}{4} = \frac{4}{20}$

And,

$\\ \frac{3}{4} \times \frac{5}{5} = \frac{15}{20}$

• Remember that 4/4 and 5/5 is 1.

So, 3 rational numbers between them are:-

$\\ \frac{5}{20}$

$\\ \frac{6}{20}$

$\\ \frac{7}{20}$