Question

Find five rational numbers between 3/5 and 2/3​

Answer 1

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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 .

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Answer 2

Answer:

11/19, 28/045, 19/30, 29/45, 59/90

Step-by-step explanation:

To find rational numbers between any rational numbers or fractions

We need to find LCM of the numbers

Here LCM = 15

So lets take first number as 9/15 and second number as 10/15

So as we see we cant find any numbers.

So again we need to take the next common multiple, which is 30

So lets take first number as 18/30 and second number as 20/30

Still we cant find 5 numbers between them so lets go to the next common multiple which is 90

Lets take the first number as 54/90 and second number as 60/90

5 numbers between 54/90 and 60/90 are 55/90, 56/90, 57/90, 58/90, 59/90

After simplifying them we get 11/19, 28/045, 19/30, 29/45, 59/90