Please help me how can i find 5 rational numbers between -4/5 and -2/3 with steps . I did not understand how to find rational numbers between two rational numbers

Given numbers are and

L.C.M. of 5 and 3 is 15.

Hence the 5 rational numbers between and are

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  • 10

To find a rational number between two rational numbers, we have to do the following :

If the denominators are diffrerent, take out its LCM to convert it into like fractions: LCM = 15

-4/5 X 3/3 = -12/15

-2/3 X 5/5 = -10/15

Now multiply both the rational numbers same fractions:

-12/15 X 3/3

-10/15 X 3/3

= -36/45 and -30/45

Five rational numbers in between them are 31/45, 32/45, 33/45, 34/45 and 35/45.

Thumbs up please!

  • 3
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