What is 11/98 Divided By 7/2

Answer: 1198÷72\frac{11}{98}\div\frac{7}{2} = 11343\frac{11}{343}

Solving 1198÷72\frac{11}{98}\div\frac{7}{2}

  • Rewrite the Division as Multiplication by the Reciprocal:

1198÷72=1198×27\frac{11}{98} \div \frac{7}{2} = \frac{11}{98} \times \frac{2}{7}

  • Multiply the Numerators: 11×2=2211 \times 2 = 22
  • Multiply the Denominators: 98×7=68698 \times 7 = 686
  • Form the New Fraction: 1198×72=22686\frac{11}{98} \times \frac{7}{2} = \frac{22}{686}

Let's Simplify 22686\frac{22}{686}

  • Find the Greatest Common Divisor (GCD) of 2222 and 686686. The GCD of 2222 and 686686 is 22.
  • Divide both the numerator and the denominator by the GCD:22÷2686÷2=11343\frac{22 \div 2}{686 \div 2} = \frac{11}{343}

Answer 1198÷72=11343\frac{11}{98}\div\frac{7}{2} = \frac{11}{343}


The following animation demonstrates the divide-by,

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