Question

Which of the following will be the first step in finding rational numbers between $\frac{3}{6}$ and $\frac{2}{3}$?

• A. Find the range.
• B. Find the midpoint of the range.
• C. Find the LCM of the denominators
• D. None of them

Answer 1

The correct option is C Find the LCM of the denominators

The first step will be to find the LCM of the denominators.

For example: $\frac{3}{6}$ and $\frac{3}{4}$

LCM of the denominators is 12.

Now, the rational numbers can be written as $\frac{6}{12}$ and $\frac{9}{12}$

New rational numbers between $\frac{6}{12}$ and $\frac{9}{12}$ will be -

$\frac{7}{12}$ and $\frac{8}{12}$

We can find still more rational numbers by taking a higher common denominator.