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d) Simplify: 49+64÷8×3-10

Mathematics

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Step-by-step solution

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Here are the solutions to the problems:

: Subtract: 1247−91712\frac{4}{7} - 9\frac{1}{7}

  1. Subtract the whole number parts.

    12−9=312 - 9 = 3
  2. Subtract the fractional parts.

    Since the denominators are the same, subtract the numerators.

    47−17=4−17=37\frac{4}{7} - \frac{1}{7} = \frac{4-1}{7} = \frac{3}{7}
  3. Combine the whole number and fractional parts to form the mixed number.

    3+37=3373 + \frac{3}{7} = 3\frac{3}{7}

    The result is 337\boxed{3\frac{3}{7}}.

    : Simplify: 49+64÷8×3−1049 + 64 \div 8 \times 3 - 10

  4. Perform division first, as it appears before multiplication from left to right.

    49+(64÷8)×3−1049 + (64 \div 8) \times 3 - 10 49+8×3−1049 + 8 \times 3 - 10
  5. Perform multiplication.

    49+(8×3)−1049 + (8 \times 3) - 10 49+24−1049 + 24 - 10
  6. Perform addition from left to right.

    (49+24)−10(49 + 24) - 10 73−1073 - 10
  7. Perform subtraction.

    6363

    The simplified value is 63\boxed{63}.

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