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Simplify the following expression: (1/2 + 1/4) * (5/6 - 1/3)

Mathematics

ScanSolve AI Answer

Answer

38\frac{3}{8}

Step-by-step solution

3 steps

  1. Simplify the expression inside the first parenthesis.

    12+14=24+14=2+14=34\frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{2+1}{4} = \frac{3}{4}

  2. Simplify the expression inside the second parenthesis.

    56−13=56−26=5−26=36=12\frac{5}{6} - \frac{1}{3} = \frac{5}{6} - \frac{2}{6} = \frac{5-2}{6} = \frac{3}{6} = \frac{1}{2}

  3. Multiply the results from Step 1 and Step 2.

    34×12=3×14×2=38\frac{3}{4} \times \frac{1}{2} = \frac{3 \times 1}{4 \times 2} = \frac{3}{8}

    The simplified expression is:

    38\frac{3}{8}
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