true or false.

to subtract fractions with x's, you must first make their denominators the same.

1 answer

True.

To subtract fractions that contain variables (including those with \( x \)'s), you must first find a common denominator. Once the denominators are the same, you can subtract the numerators while keeping the common denominator. For example,

\[
\frac{2}{x} - \frac{1}{2x}
\]

The common denominator would be \( 2x \), and you would adjust the fractions accordingly to get:

\[
\frac{4}{2x} - \frac{1}{2x} = \frac{3}{2x}
\]