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Solve for x: (x + 1/2) * 1/8 = 1/4 - 3/8

June 5, 2026Mathematics

ScanSolve AI Answer

Answer

\frac{5}{32}

3 steps

Here is the solution to the problem:

Simplify $(1 + \frac{1}{4}) \times (\frac{5}{8} - \frac{1}{2})$

Simplify the expression inside the first parenthesis.
$1 + \frac{1}{4} = \frac{4}{4} + \frac{1}{4} = \frac{4+1}{4} = \frac{5}{4}$
Simplify the expression inside the second parenthesis.
$\frac{5}{8} - \frac{1}{2} = \frac{5}{8} - \frac{1 \times 4}{2 \times 4} = \frac{5}{8} - \frac{4}{8} = \frac{5-4}{8} = \frac{1}{8}$
Multiply the results from Step 1 and Step 2.
$\frac{5}{4} \times \frac{1}{8} = \frac{5 \times 1}{4 \times 8} = \frac{5}{32}$
The simplified expression is $\frac{5}{32}$ .