Find four rational numbers between 2 3 and 3 5

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Find four rational numbers between 2/3 and 3/5.

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Answer:

Here in this question, 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

Multiply them by 10 to get greater difference among both new numbers.

This gives 90 / 150 and 100 / 150

Therefore the five numbers between 3/5 and 2/3 are 91 / 150 , 92 / 150 ,93 / 150 , 94 / 150 and 97 / 150 .

I hope it's help you

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