Question

Find two rational numbers between 3/4 and 6/5​

Answer 1

Answer:

16/20 and 21/20

Step-by-step explanation:

First, make their denominator equal by LCM method.

LCM of 4 and 5 is 20.

Therefore, 3/4 x 5/5 = 15/20

6/5 x 4/4 = 24/20

Now, as their denominators are same.

You can chose any numbers from between them.

Therefore, the numbers are 16/20, 17/20 and 21/20.

Hope it helped you.

Answer 2

Two rational numbers between 3/4 and 6/5 are 19/20 & 23/20

Given :

Two rational numbers 3/4 and 6/5

To find :

Two rational numbers between 3/4 and 6/5

Solution :

Step 1 of 2 :

Express given two rational number with same denominator

Here the given two rational numbers are 3/4 and 6/5

Denominators are 4 and 5 respectively

LCM of the denominators = 20

Now ,

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

$\displaystyle \sf \frac{6}{5} = \frac{6 \times 4}{5 \times 4} = \frac{24}{20}$

Step 2 of 2 :

Find two rational numbers between 3/4 and 6/5

We have

$\displaystyle \sf \frac{3}{4} = \frac{15}{20} < \frac{16}{20} < \frac{17}{20} < \frac{18}{20} < \frac{19}{20} < \frac{20}{20} < \frac{21}{20} < \frac{22}{20} < \frac{23}{20} < \frac{24}{20} = \frac{6}{5}$

Hence any two rational numbers between 3/4 and 6/5 are 19/20 & 23/20

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