What is 11/54 Divided By 1/4

Answer: 1154÷14\frac{11}{54}\div\frac{1}{4} = 2227\frac{22}{27}

Solving 1154÷14\frac{11}{54}\div\frac{1}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

1154÷14=1154×41\frac{11}{54} \div \frac{1}{4} = \frac{11}{54} \times \frac{4}{1}

  • Multiply the Numerators: 11×4=4411 \times 4 = 44
  • Multiply the Denominators: 54×1=5454 \times 1 = 54
  • Form the New Fraction: 1154×14=4454\frac{11}{54} \times \frac{1}{4} = \frac{44}{54}

Let's Simplify 4454\frac{44}{54}

  • Find the Greatest Common Divisor (GCD) of 4444 and 5454. The GCD of 4444 and 5454 is 22.
  • Divide both the numerator and the denominator by the GCD:44÷254÷2=2227\frac{44 \div 2}{54 \div 2} = \frac{22}{27}

Answer 1154÷14=2227\frac{11}{54}\div\frac{1}{4} = \frac{22}{27}


The following animation demonstrates the divide-by,

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