What is 33/72 Divided By 9/4

Answer: 3372÷94\frac{33}{72}\div\frac{9}{4} = 1154\frac{11}{54}

Solving 3372÷94\frac{33}{72}\div\frac{9}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

3372÷94=3372×49\frac{33}{72} \div \frac{9}{4} = \frac{33}{72} \times \frac{4}{9}

  • Multiply the Numerators: 33×4=13233 \times 4 = 132
  • Multiply the Denominators: 72×9=64872 \times 9 = 648
  • Form the New Fraction: 3372×94=132648\frac{33}{72} \times \frac{9}{4} = \frac{132}{648}

Let's Simplify 132648\frac{132}{648}

  • Find the Greatest Common Divisor (GCD) of 132132 and 648648. The GCD of 132132 and 648648 is 1212.
  • Divide both the numerator and the denominator by the GCD:132÷12648÷12=1154\frac{132 \div 12}{648 \div 12} = \frac{11}{54}

Answer 3372÷94=1154\frac{33}{72}\div\frac{9}{4} = \frac{11}{54}


The following animation demonstrates the divide-by,

©AskMathGuru
Need support for a different topic or want to share a feedback? Write to us and we'll work on adding it. Be a part of our progress!