Question

write three rational numbers between
$\frac{ - 3}{5} and - \frac{ - 2}{3}$
​

Answer 1

Answer:

May be :-

- 39/60, - 19/30 and - 37/60.

Step-by-step explanation:

If the given numbers are - 3/5 and - 2/3. Then,

Writing the given numbers with same denominator 15 ( L.C.M. of 5 and 3 ), we get - 3/5 = - 9/15 and - 2/3 = - 10/15. Now multiplying the numerator and denominator of each of the given numbers by 3 + 1, i.e., by 4, we get - 36/60 and - 40/60, which are equivalent to the given numbers.

As - 40 < - 39 < - 38 < - 37 < - 36

- 40/60 < - 39/60 < - 38/60 < - 37/60 < - 36 / 60

=> - 2/3 < - 39/60 < - 19/30 < - 37/60 < - 3/5 .

. ' . Three rational numbers between - 3/5 and - 2/3 are - 39/60, - 19/30 and - 37/60.

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