What is 57/62 Divided By 1/4

Answer: 5762÷14\frac{57}{62}\div\frac{1}{4} = 11431\frac{114}{31}

Solving 5762÷14\frac{57}{62}\div\frac{1}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

5762÷14=5762×41\frac{57}{62} \div \frac{1}{4} = \frac{57}{62} \times \frac{4}{1}

  • Multiply the Numerators: 57×4=22857 \times 4 = 228
  • Multiply the Denominators: 62×1=6262 \times 1 = 62
  • Form the New Fraction: 5762×14=22862\frac{57}{62} \times \frac{1}{4} = \frac{228}{62}

Let's Simplify 22862\frac{228}{62}

  • Find the Greatest Common Divisor (GCD) of 228228 and 6262. The GCD of 228228 and 6262 is 22.
  • Divide both the numerator and the denominator by the GCD:228÷262÷2=11431\frac{228 \div 2}{62 \div 2} = \frac{114}{31}

Answer 5762÷14=11431\frac{57}{62}\div\frac{1}{4} = \frac{114}{31}


The following animation demonstrates the divide-by,

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