Question

Find two rational number between 3/ 7 and 4/ 7

Answer 1

Answer:

$\frac{3}{7} and \frac{4}{7} \\ \frac{3}{7} \times \frac{3}{3} \: \: \: \: \: and \: \: \: \: \: \frac{4}{7} \times \frac{3}{3} \\ = \frac{9}{21} \: \: \: \: \: and \: \: \: \: \: \frac{12}{21} \\ now \: two \: rational \: numbers \: between \: \frac{9}{21} and \frac{12}{21} \: are \: \\ \frac{10}{21} and \: \frac{11}{21}$

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Answer 2

Answer :-

• Two rational numbers between 3/7 and 4/7 are 10/21 and 11/21.

Given :-

• Two rational numbers 3/7 and 4/7.

To find :-

• Two rational numbers between them.

Step-by-step explanation :-

• Here, we are asked to find two rational numbers between 3/7 and 4/7.

We notice that there are no integers between 3/7 and 4/7. Thus, writing the given rational numbers with denominator 7 is not sufficient.

So, to insert 2 rational numbers, we will multiply both the numerator and denominator of each rational number by (2 + 1) that is, 3.

Multiplying both the numerator and denominator of the given rational numbers with 3 :-

$\sf{\longrightarrow \dfrac{3}{7} = \dfrac{3 \times 3}{7 \times 3} = \dfrac{9}{21}}$

$\sf{\longrightarrow \dfrac{4}{7} = \dfrac{4 \times 3}{7 \times 3} = \dfrac{12}{21}}$

Now,

$\bf\dfrac{9}{21} , \dfrac{10}{21} \: ... \: \dfrac{12}{21}$

Hence :-

• Two rational numbers between 9/21 and 12/21 are 10/21 and 11/21.

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