Question

Insert five rational number between -2/3 & 3/4

Answer 1

-2/3 & 3/4
-2/3×4/4 = -8/12.
3/4×3/3 = 9/12.
therefore the five rational no. between -2/3 & 3/4 are..
-7/12,-6/12,-5/12,-4/12,-3/12.

Answer 2

Concept

Rational numbers is defined as the set of those real numbers which can be written as p/q form, where q is not equal to zero. Any number which can be written as p/q are known as rational numbers. For example, 1/2, 3/7, -3/4.

Given

The rational numbers which is given are -2/3 and 3/4.

Find

We have to find out the five rational numbers between -2/3 and 3/4.

Solution

In general there can be many rational numbers between any two rational numbers. Let's calculate the five of them.

-2/3 + 1 = 1/3

-2/3 + 1/3 = -1/3

3/4 - 1/4 = 2/4

3/4 - 2/4 = 1/4

3/4 - 1/8 = 5/8

Hence the five rational numbers between -2/3 and 3/4 are -1/3, 1/3, 2/4, 1/4, 5/8.

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