Question

Find five rational numbers between 3/5and4/5
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Answer 1

Ans. is 19/30,2/3,7/10,11/15,23/30

Answer 2

Answer :-

• Five rational numbers are 19/30, 20/30, 21/30, 22/30 and 23/30.

Given :-

• Two rational numbers 3/5 and 4/5.

To find :-

• Five rational numbers between them.

Step-by-step explanation :-

• Here, we are asked to find five rational numbers between 3/5 and 4/5.

We notice that there is only one integer between 3/5 and 4/5. Thus, writing the given rational numbers with denominator 5 is not sufficient.

So, to insert 5 rational numbers, we will multiply both the numerator and denominator of each rational number by (5 + 1) that is, 6.

Multiplying both the numerator and denominator of the rational numbers with 6 :-

$\sf{\longrightarrow \dfrac{3}{5} = \dfrac{3 \times 6}{5 \times 6} = \dfrac{18}{30}}$

$\sf{\longrightarrow \dfrac{4}{5} = \dfrac{4 \times 6}{5 \times 6} = \dfrac{24}{30}}$

Now,

$\bf \dfrac{18}{30} , \dfrac{19}{30} , \dfrac{20}{30} \: .... \: \dfrac{24}{30}$

We can choose any five rational numbers from here.

Hence :-

• Five rational numbers between 3/5 and 4/5 are 19/30, 20/30, 21/30, 22/30 and 23/30.

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