Question

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


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Answer 1

Answer:

3/5 × 3/3

9/15--------i

2/3×5/5

10/15-------ii

multiplying both the eq by 5

9/15 × 5/5

45/75--------iii

10/15 × 5/5

50/75---------iv

so three rational no between 3/5 and 2/3 is 46/75, 47/75, 48/75

Answer 2

3/5,2/3

denominators are not same. So,

LCM= 5×3=15

And then,

3/5×3/3=9/15

2/3×5/5=10/15

So we got denominators same.

9/15,10/15

There is no number between them.

So we have to multiply both these number by 10 So,

9/15×10/10=90/150

10/15×10/10=100/150

.•. The three rational numbers are

91/150,92/150,93/150…

Hope it will helpful to you...