Question

find five rational numbers between -3/2 and 5/3​

Answer 1

Answer:

$\frac{-20}{18}, \frac{-15}{18}, \frac{-10}{18}, \frac{5}{18}, \frac{25}{18}$

Step-by-step explanation:

By finding common multiples of the denominators, we get the rational numbers between.

Therefore, a common multiple of 2 and 3 = 18

Therefore, we multiply the numerators too.

$\frac{-3 * 9 = -27}{2 * 9 = 18} \\\\\frac{5 * 6 = 30}{3 * 6 = 18}$

Now, as we have got like rational numbers, we find the rational numbers in between.

$\frac{-20}{18}, \frac{-15}{18}, \frac{-10}{18}, \frac{5}{18}, \frac{25}{18}$

As asked we listed the 5 rational numbers.