Question

Find the 5 rational numbers between 5/7and 6/7​

Answer 1

Answer:

here your answer mate..

36/49 , 37/49 , 38/49 , 39/49 , 40/49

Answer 2

Step 1: Find the LCM of the denominators to make them equal. But since the denominators are already equal we may not apply this step here.

$\frac{5}{7}\ and \ \frac{6}{7}$

Step 2: Multiply the denominator and numerator with any number like 10, 100, 1000, 99, 3, etc. Here I am gonna multiply them by 6.

$\frac{5\times 6 }{7\times 6 } =\frac{30}{42}$

$\frac{6\times 6 }{7\times 6 } =\frac{36}{42}$

Step 3: List out the rational numbers.

Rational numbers between $\frac{5}{7}\ and \ \frac{6}{7}$ are ⇒ $\frac{31}{42},\frac{32}{42},\frac{33}{42},\frac{34}{42} \ and \ \frac{35}{42}$

∴ Five rational numbers between  $\frac{5}{7}\ and \ \frac{6}{7}$ are ⇒ $\frac{31}{42},\frac{32}{42},\frac{33}{42},\frac{34}{42} \ and \ \frac{35}{42}$.