Question

Insert
6 Rational numbers between 3/8 & 3/5
​

Answer 1

Answer:

3/ 8 & 3/5

LCM = 40

= 15/40 & 24/40

6 rational numbers are:

16/40, 17/40, 18/40, 19/40, 20/40, 21/40

Answer 2

Six rational numbers between 3/8 and 3/5 are 16/40, 17/40, 19/40, 20/40, 21/40 and 22/40.

Given:

• Two rational numbers.
• $\frac{3}{8} \: and \: \frac{3}{5}$

To find:

• Insert six rational numbers between the two given number.

Solution:

Concept to be used:

If denominator are different, then take LCM and insert numbers.

Step 1:

It is clear that denominators are different, so take LCM.

LCM(5,8)=40

So,

Multiply 5 in both terms in 3/8 and multiply 8 in both terms of 3/5.

So,

$\frac{3}{8} \times \frac{5}{5} = \frac{15}{40}$

and

$\frac{3}{5} \times \frac{8}{8} = \frac{24}{40}$

Step 2:

Insert numbers between the two.

There are many numbers between the two given numbers.

But we have to insert only six.

Thus,

$\frac{16}{40}, \: \frac{17}{40}, \: \frac{19}{40},\: \frac{20}{40},\: \frac{21}{40}, \: and\: \frac{22}{40}$are the six rational numbers.

*One can remove the common factors from the fraction.

Thus,

Six numbers between 3/8 and 3/5 are 16/40, 17/40, 19/40, 20/40, 21/40 and 22/40.

Learn more:

1) HOW MANY RATIONAL NUMBER ARE THERE STRICTLY BETWEEN 0 AND 1 SUCH THAT THE DENOMINATOR OF THE RATIONAL NUMBER IS 80 ?

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2) Find two rational and irrational numbers between root 2 and root 7

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