Question

Find three rational number between - 2/5 and 2

Answer 1

Answer:

-2/5 and 10/5(LCM of 5,1 is 5)

therefore the three rational numbers are -1/5,0/5 and 1/5

you may take any three numbers between -2/5 and 10/5

Answer 2

The three rational numbers between  $\frac{2}{5}$ and 2 are 1.4, 1.29, and 1.9.

Given,

Two rational numbers: $\frac{2}{5}$ and 2.

To Find,

Three rational numbers between $\frac{2}{5}$ and 2.

Solution,

The method of finding three rational numbers between $\frac{2}{5}$ and 2 is as follows -

The decimal representation of $\frac{2}{5} =0.4$.

The difference between 0.4 and 2 is $2-0.4 =1.6$.

So if we add a number, which is less than 1.6 but greater than 0, to 0.4, the resulting number will be less than 2 and greater than 0.4.

Three numbers, which are less than 1.6 but greater than 0, are 1, 1.25, and 1.5.

So if we add 1 to 0.4, the resulting number will be $1+0.4=1.4$.

So if we add 1.25 to 0.4, the resulting number will be $1.25+0.4=1.29$.

So if we add 1.5 to 0.4, the resulting number will be $1.5+0.4=1.9$.

Hence, the three rational numbers between  $\frac{2}{5}$ and 2 are 1.4, 1.29, and 1.9.

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