What is 11/66 Divided By 1/4

Answer: 1166÷14\frac{11}{66}\div\frac{1}{4} = 23\frac{2}{3}

Solving 1166÷14\frac{11}{66}\div\frac{1}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

1166÷14=1166×41\frac{11}{66} \div \frac{1}{4} = \frac{11}{66} \times \frac{4}{1}

  • Multiply the Numerators: 11×4=4411 \times 4 = 44
  • Multiply the Denominators: 66×1=6666 \times 1 = 66
  • Form the New Fraction: 1166×14=4466\frac{11}{66} \times \frac{1}{4} = \frac{44}{66}

Let's Simplify 4466\frac{44}{66}

  • Find the Greatest Common Divisor (GCD) of 4444 and 6666. The GCD of 4444 and 6666 is 2222.
  • Divide both the numerator and the denominator by the GCD:44÷2266÷22=23\frac{44 \div 22}{66 \div 22} = \frac{2}{3}

Answer 1166÷14=23\frac{11}{66}\div\frac{1}{4} = \frac{2}{3}


The following animation demonstrates the divide-by,

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