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What is 25 cm as a fraction of 3 m?

Mathematics

ScanSolve AI Answer

Answer

112\frac{1}{12}

Step-by-step solution

3 steps
  1. Convert both measurements to the same unit.

    We will convert meters to centimeters.
    We know that 1 m=100 cm1 \text{ m} = 100 \text{ cm}.
    Therefore, 3 m=3×100 cm=300 cm3 \text{ m} = 3 \times 100 \text{ cm} = 300 \text{ cm}.

  2. Express the first quantity as a fraction of the second quantity.

    We need to express 25 cm25 \text{ cm} as a fraction of 300 cm300 \text{ cm}.
    The fraction is 25 cm300 cm\frac{25 \text{ cm}}{300 \text{ cm}}.

  3. Simplify the fraction.

    Divide both the numerator and the denominator by their greatest common divisor, which is 25.

    25300=25÷25300÷25=112\frac{25}{300} = \frac{25 \div 25}{300 \div 25} = \frac{1}{12}

    The fraction is 112\frac{1}{12}.

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