Question

true or false.

To subtract fractions with x's, you subtract the numerators and put the result over the common denominator.

Answer 1

True.

When you subtract fractions, including those with variables such as x's, you subtract the numerators and keep the common denominator. Here's the general process:

Given two fractions with the same denominator:

\[ \frac{a}{d} - \frac{b}{d} \]

You subtract the numerators and put the result over the common denominator:

\[ \frac{a - b}{d} \]

For example, if you have:

\[ \frac{x}{4} - \frac{3x}{4} \]

You subtract the numerators \( x - 3x = -2x \) and keep the denominator:

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

So, the result is:

\[ \frac{-2x}{4} \]

Remember that the fractions must have a common denominator to perform this subtraction directly. If they do not, you need to find a common denominator first.