Question

find five rational numbers between (-7) (-6)​

Answer 1

Steps to find rational numbers between two rational numbers.

Step 1 ⇒ Since here the rational number is not in  $\frac{p}{q}$ we will make the numbers in

So (-7) = $\frac{-7}{1}$

And (-8) = $\frac{-8}{1}$

Step 2 ⇒ Now since we want five rational numbers between the two numbers we will multiply any number to the denominator and numerator. So here I am multiplying 6, you can also multiply any large number like 10, 100, etc.

$\frac{-7*6}{1*6}$ and $\frac{-6*6}{1*6}$

So the rational numbers between $\frac{-42}{6}$ and $\frac{-36}{6}$ are ⇒ $\frac{-37}{6},\frac{-38}{6} , \frac{-39}{6} , \frac{-40}{6} , \frac{-41}{6}$.