What is 39/72 Divided By 2/3

Answer: 3972÷23\frac{39}{72}\div\frac{2}{3} = 1316\frac{13}{16}

Solving 3972÷23\frac{39}{72}\div\frac{2}{3}

  • Rewrite the Division as Multiplication by the Reciprocal:

3972÷23=3972×32\frac{39}{72} \div \frac{2}{3} = \frac{39}{72} \times \frac{3}{2}

  • Multiply the Numerators: 39×3=11739 \times 3 = 117
  • Multiply the Denominators: 72×2=14472 \times 2 = 144
  • Form the New Fraction: 3972×23=117144\frac{39}{72} \times \frac{2}{3} = \frac{117}{144}

Let's Simplify 117144\frac{117}{144}

  • Find the Greatest Common Divisor (GCD) of 117117 and 144144. The GCD of 117117 and 144144 is 99.
  • Divide both the numerator and the denominator by the GCD:117÷9144÷9=1316\frac{117 \div 9}{144 \div 9} = \frac{13}{16}

Answer 3972÷23=1316\frac{39}{72}\div\frac{2}{3} = \frac{13}{16}


The following animation demonstrates the divide-by,

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