What is 17/54 Divided By 1/4

Answer: 1754÷14\frac{17}{54}\div\frac{1}{4} = 3427\frac{34}{27}

Solving 1754÷14\frac{17}{54}\div\frac{1}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

1754÷14=1754×41\frac{17}{54} \div \frac{1}{4} = \frac{17}{54} \times \frac{4}{1}

  • Multiply the Numerators: 17×4=6817 \times 4 = 68
  • Multiply the Denominators: 54×1=5454 \times 1 = 54
  • Form the New Fraction: 1754×14=6854\frac{17}{54} \times \frac{1}{4} = \frac{68}{54}

Let's Simplify 6854\frac{68}{54}

  • Find the Greatest Common Divisor (GCD) of 6868 and 5454. The GCD of 6868 and 5454 is 22.
  • Divide both the numerator and the denominator by the GCD:68÷254÷2=3427\frac{68 \div 2}{54 \div 2} = \frac{34}{27}

Answer 1754÷14=3427\frac{17}{54}\div\frac{1}{4} = \frac{34}{27}


The following animation demonstrates the divide-by,

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