Question

4. Insert three rational numbers between 3/5 and 2/3



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Answer 1

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9th

Maths

Number Systems

Re-Introduction to Number

Insert three rational numbe...

MATHS

Insert three rational numbers between

3

2

and

5

3

HARD

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ANSWER

The LCM of the denominators of the given rational numbers

3

2

and

5

3

is LCM(3,5)=15.

Therefore, with denominator 15, the rational numbers becomes

15

10

and

15

9

The difference between the numerators 9 and 10 is very less, so

we multiply both the numerators and denominators of the rational

numbers

15

10

and

15

9

by 10 to obtain the five rational numbers between them.

Now, the rational numbers becomes

150

100

and

150

90

Hence, the 3 rational numbers between

150

90

and

150

100

are as follows:

150

91

,

150

93

,

150

99