What is 98/72 Divided By 2/9

Answer: 9872÷29\frac{98}{72}\div\frac{2}{9} = 498\frac{49}{8}

Solving 9872÷29\frac{98}{72}\div\frac{2}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

9872÷29=9872×92\frac{98}{72} \div \frac{2}{9} = \frac{98}{72} \times \frac{9}{2}

  • Multiply the Numerators: 98×9=88298 \times 9 = 882
  • Multiply the Denominators: 72×2=14472 \times 2 = 144
  • Form the New Fraction: 9872×29=882144\frac{98}{72} \times \frac{2}{9} = \frac{882}{144}

Let's Simplify 882144\frac{882}{144}

  • Find the Greatest Common Divisor (GCD) of 882882 and 144144. The GCD of 882882 and 144144 is 1818.
  • Divide both the numerator and the denominator by the GCD:882÷18144÷18=498\frac{882 \div 18}{144 \div 18} = \frac{49}{8}

Answer 9872÷29=498\frac{98}{72}\div\frac{2}{9} = \frac{49}{8}


The following animation demonstrates the divide-by,

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