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Simplify the following expression: (17/34) (6/12) (1/8)

Mathematics

ScanSolve AI Answer

Answer

132\frac{1}{32}

Step-by-step solution

4 steps

Here's the solution to the expression:

  1. Write down the given expression.

    1734×612×18\frac{17}{34} \times \frac{6}{12} \times \frac{1}{8}
  2. Simplify each fraction by finding common factors.

    For the first fraction, 34=2×1734 = 2 \times 17, so 1734=12\frac{17}{34} = \frac{1}{2}.
    For the second fraction, 12=2×612 = 2 \times 6, so 612=12\frac{6}{12} = \frac{1}{2}.
    The third fraction 18\frac{1}{8} is already in its simplest form.

  3. Substitute the simplified fractions back into the expression.

    12×12×18\frac{1}{2} \times \frac{1}{2} \times \frac{1}{8}
  4. Multiply the numerators together and the denominators together.

    1×1×12×2×8=132\frac{1 \times 1 \times 1}{2 \times 2 \times 8} = \frac{1}{32}

    The final answer is 132\frac{1}{32}.

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