Simplify 1over2x substrate 1over4x

October 6, 2026Mathematics

ScanSolve AI Answer

Answer

\frac{1}{4x}

3 steps

To simplify the expression $\frac{1}{2x} - \frac{1}{4x}$ , we need to find a common denominator.

Find a Common Denominator
The denominators are $2x$ and $4x$. The least common multiple of $2x$ and $4x$ is $4x$.
Convert the First Fraction
To change $\frac{1}{2x}$ to have a denominator of $4x$ , multiply both the numerator and the denominator by 2:
$\frac{1}{2x} = \frac{1 \times 2}{2x \times 2} = \frac{2}{4x}$
Perform the Subtraction
Now that both fractions have the same denominator, subtract the numerators:
$\frac{2}{4x} - \frac{1}{4x} = \frac{2 - 1}{4x} = \frac{1}{4x}$
The simplified expression is:
$\frac{1}{4x}$

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