Question

find five rational number between 11/5 and 12/5​

Answer 1

Answer:

89/40,90/40,91/40,92/40,93/40

Answer 2

Answer:

$\frac{67}{30} . \frac{68}{30} . \frac{69}{30} . \frac{70}{30} . \frac{71}{30}$

Step-by-step explanation:

To find any number of rational number between two numbers, we want two conditions :-

• first, denominator should be same
• second, The number we need should be between both numerators.

Here first condition is satisfied, but not second.

so we will maximize the numbers

$\frac{11}{5} = \frac{11 \times 6}{5 \times 6} = \frac{66}{30} \\ \frac{12}{5 } = \frac{12 \times 6}{5 \times 6} = \frac{72}{30}$

$\frac{66}{30} ( \frac{11}{5} ) < \frac{67}{30} < \frac{68}{30} < \frac{69}{30} < \frac{70}{30} < \frac{71}{30} < \frac{72}{30} ( \frac{12}{5} )$

Hence five rational number between 11/5 and 12/5 :-

$\frac{67}{30} . \frac{68}{30} . \frac{69}{30} . \frac{70}{30} . \frac{71}{30}$

hope it helps.