Question

Insert 100 rational numbers between -3/11 and 9/13

Answer 1

multiply both &3/11 and 9/11 by 100 and write any hundred between their products

Answer 2

Answer:

The rational numbers are

$\frac{-38}{143},\frac{-37}{143},\frac{-36}{143}, \frac{-35}{143},............\frac{95}{143}, \frac{96}{143}, \frac{97}{143},\frac{98}{143}$

Step-by-step explanation:

Given two numbers

$\frac{-3}{11}\text{ and }\frac{9}{13}$

we have to find 100 rational numbers

$\frac{-3}{11}=\frac{-3\times 13}{11\times 13}=\frac{-39}{143}$

$\frac{9}{13}=\frac{9\times 11}{13\times 11}=\frac{99}{143}$

100 rational numbers between above two factions are

$\frac{-38}{143},\frac{-37}{143},\frac{-36}{143}, \frac{-35}{143},............\frac{95}{143}, \frac{96}{143}, \frac{97}{143},\frac{98}{143}$