Question

find 5 rational numbers between 3/5 and 2/3

Answer 1

Hi there!
mudit11 here to help!
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✓ we first make denominators Same by making them 15 in both numbers.

✓ 3 x 3 / 5 x 3 = 9 / 15

✓ 2 x 5 / 3 x 5 = 10 / 15

✓ Let us further multiply them by 10 to get greater difference among both new numbers.

= This gives 90 / 150 and 100 / 150

✓ Hence we can write any five numbers Between these two.

✓ Ans. 91 / 150 , 92 / 150 , 93 / 150 , 94 / 150 and 97 / 150 .

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I hope this helps you.

Answer 2

As the denominators of both rational numbers are different, so first we have to make the denominators same by finding their LCM.

The LCM of 5 and 3 is 15.

3/5*3/3=9/15

2/3*5/5=10/15

Now if you want you can make the numbers bigger by multiplying them.

I am multiplying both the numbers with 10.

9/15*10/10=90/150

10/15*10/10=100/150

So five rational numbers between 90/150 and 100/150 are

91/150, 93/150, 95/150, 97/150 and 99/150