Question

find a rational number between-3/7 and 1/3​

Answer 1

LCM OF 3and 7= 21

1×7/3×7 and 1×3/7×3

7/21 and 3/21

therefore three rational no. are

4/21,5/21,6/21

Answer 2

Answer:

$\frac{-6}{21}$ is a rational number between  $\frac{-3}{7}$ and $\frac{1}{3}$.

Step-by-step explanation:

Explanation:

Given that, $\frac{-3}{7}$ and $\frac{1}{3}$

• Rational number - A rational number can be stated mathematically as the ratio or fraction $\frac{p}{q}$ of two numbers, where p and q are the numerator and denominator, respectively.

• Example of rational numbers are, $\frac{1}{3},\frac{2}{5}, \frac{7}{9}$ and so on.

Step 1:

We have, $\frac{-3}{7}$ and $\frac{1}{3}$

LCM of 7 and 3 is 21

So, first we need to make denominator of both fraction 21.

⇒ $\frac{-3}{7}$ × $\frac{3}{3}$ = $\frac{-9}{21}$ and $\frac{1}{3}$ × $\frac{7}{7}$ = $\frac{7}{21}$

Rational numbers between  $\frac{-9}{21}$ and $\frac{7}{21}$ are $\frac{-8}{21} , \frac{-7}{21} ,\frac{-6}{21},\frac{-5}{21},\frac{-4}{21},\frac{-3}{21},\frac{-2}{21},\frac{-1}{21}, \frac{1}{21} , \frac{2}{21} ,\frac{3}{21},\frac{4}{21},\frac{5}{21}$ and etc.

Final answer:

Hence, $\frac{-6}{21}$ is a rational number between  $\frac{-3}{7}$ and $\frac{1}{3}$.

#SPJ2