What is 11/99 Divided By 3/8

Answer: 1199÷38\frac{11}{99}\div\frac{3}{8} = 827\frac{8}{27}

Solving 1199÷38\frac{11}{99}\div\frac{3}{8}

  • Rewrite the Division as Multiplication by the Reciprocal:

1199÷38=1199×83\frac{11}{99} \div \frac{3}{8} = \frac{11}{99} \times \frac{8}{3}

  • Multiply the Numerators: 11×8=8811 \times 8 = 88
  • Multiply the Denominators: 99×3=29799 \times 3 = 297
  • Form the New Fraction: 1199×38=88297\frac{11}{99} \times \frac{3}{8} = \frac{88}{297}

Let's Simplify 88297\frac{88}{297}

  • Find the Greatest Common Divisor (GCD) of 8888 and 297297. The GCD of 8888 and 297297 is 1111.
  • Divide both the numerator and the denominator by the GCD:88÷11297÷11=827\frac{88 \div 11}{297 \div 11} = \frac{8}{27}

Answer 1199÷38=827\frac{11}{99}\div\frac{3}{8} = \frac{8}{27}


The following animation demonstrates the divide-by,

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