What is 74/24 Divided By 3/1

Answer: 7424÷31\frac{74}{24}\div\frac{3}{1} = 3736\frac{37}{36}

Solving 7424÷31\frac{74}{24}\div\frac{3}{1}

  • Rewrite the Division as Multiplication by the Reciprocal:

7424÷31=7424×13\frac{74}{24} \div \frac{3}{1} = \frac{74}{24} \times \frac{1}{3}

  • Multiply the Numerators: 74×1=7474 \times 1 = 74
  • Multiply the Denominators: 24×3=7224 \times 3 = 72
  • Form the New Fraction: 7424×31=7472\frac{74}{24} \times \frac{3}{1} = \frac{74}{72}

Let's Simplify 7472\frac{74}{72}

  • Find the Greatest Common Divisor (GCD) of 7474 and 7272. The GCD of 7474 and 7272 is 22.
  • Divide both the numerator and the denominator by the GCD:74÷272÷2=3736\frac{74 \div 2}{72 \div 2} = \frac{37}{36}

Answer 7424÷31=3736\frac{74}{24}\div\frac{3}{1} = \frac{37}{36}


The following animation demonstrates the divide-by,

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