Question

Find eight rational number between 2/7 and 3/5

Answer 1

Answer:

11/35, 12/35, 13/35, 2/5, 3/7, 16/35, 17/35, 18/35.

Step-by-step explanation:

Given:- The given rational numbers are 2/7 and 3/5.

To Find:- 8 rational numbers between 2/7 and 3/5.

Solution:-

Rational numbers are the numbers which can be expressed in the form of a fraction p/q. These number are of two types:- Terminating and Non - terminating.

The two given rational numbers are 2/7 and 3/5.

First we need to make the denominator of both the rational numbers same.

So multiplying 2/7 with 5/5 and 3/5 with 7/7, we get

$\frac{2}{7}$ × $\frac{5}{5}$ = $\frac{10}{35}$       and         $\frac{3}{5}$ × $\frac{7}{7}$ = $\frac{21}{35}$

Now we need to find 8 rational numbers between 10/35 and 21/35.

There can be 10 rational number between 10/35 and 21/35, since there are 10 numbers between 21 and 10.

10/35 < 11/35 < 12/35 < 13/35 < 14/35 < 15/35 < 16/35 < 17/35 < 18/35 < 19/35 < 20/35 < 21/35.

Therefore the 8 rational numbers between 2/7 and 3/5 are 11/35, 12/35, 13/35, 2/5, 3/7, 16/35, 17/35, 18/35.

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Answer 2

Concept

A rational number is the one which can be represented in p/q form where p and q are non zero integers.

Given

2/7 and 3/5

Find

We have to find eight rational numbers between 2/7 and 3/5

Solution

We have,

2/7 and 3/5

Firstly, we take the LCM of the denominators of the 2 fractions.

LCM of 7 and 5 = 35

equalising the denominators-

2/7 = (2×5)/(7×5) =10/35

and 3/5 = (3×7)/(5×7) =21/35

Thus now we can easily find 8 numbers between 10/35 and 21/35

8 numbers between 10 and 21 are

11, 12, 13, 14, 15, 16, 17, 18

Thus, 8 Rational numbers between 2/7 and 3/5 are 11/35 , 12/35 , 13/35, 14/35 , 15/35 , 16/35, 17/35 , 18/35

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