Question

3
1. Find three rational numbers between- 3upon 7 and - 2 upon 7



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Answer 1

Step-by-step explanation:

Number of rational numbers between -3/7 and -2/7 needed 'n'=3

n+1=3+1=4

$$\begin{lgathered}\frac{ - 3}{7} \times \frac{4}{4} = \frac{ - 12}{28} \\ \frac{ - 2}{7} \times \frac{4}{4} = \frac{ - 8}{28}\end{lgathered}$$

Therefore, three rational numbers between -3/7 and -2/7 are -11/28,-10/28 and -9/28 .

Answer 2

Answer:

The three rational numbers are:

$\frac{-21}{70} , \frac{-22}{70} , \frac{-23}{70}$

Step-by-step explanation:

Three rational numbers between $\frac{-3}{7} and \frac{-2}{7}$  =

Multiply both numerator and denominator of both the fractions by 10

NOTE: Here we multiply by 10 to get more numbers between them as well as to make the multiplication easier.

$\frac{-2}{7} * \frac{10}{10} = \frac{-20}{70}$

$\frac{-3}{7} * \frac{10}{10} = \frac{-30}{70}$

∴ The three rational numbers are:

$\frac{-21}{70} , \frac{-22}{70} , \frac{-23}{70}$

NOTE: You can write any rational number between $\frac{-20}{70} and \frac{-30}{70}$

hope it helps..