What is 12/72 Divided By 3/2

Answer: 1272÷32\frac{12}{72}\div\frac{3}{2} = 19\frac{1}{9}

Solving 1272÷32\frac{12}{72}\div\frac{3}{2}

  • Rewrite the Division as Multiplication by the Reciprocal:

1272÷32=1272×23\frac{12}{72} \div \frac{3}{2} = \frac{12}{72} \times \frac{2}{3}

  • Multiply the Numerators: 12×2=2412 \times 2 = 24
  • Multiply the Denominators: 72×3=21672 \times 3 = 216
  • Form the New Fraction: 1272×32=24216\frac{12}{72} \times \frac{3}{2} = \frac{24}{216}

Let's Simplify 24216\frac{24}{216}

  • Find the Greatest Common Divisor (GCD) of 2424 and 216216. The GCD of 2424 and 216216 is 2424.
  • Divide both the numerator and the denominator by the GCD:24÷24216÷24=19\frac{24 \div 24}{216 \div 24} = \frac{1}{9}

Answer 1272÷32=19\frac{12}{72}\div\frac{3}{2} = \frac{1}{9}


The following animation demonstrates the divide-by,

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