What is 57/60 Divided By 4/1

Answer: 5760÷41\frac{57}{60}\div\frac{4}{1} = 1980\frac{19}{80}

Solving 5760÷41\frac{57}{60}\div\frac{4}{1}

  • Rewrite the Division as Multiplication by the Reciprocal:

5760÷41=5760×14\frac{57}{60} \div \frac{4}{1} = \frac{57}{60} \times \frac{1}{4}

  • Multiply the Numerators: 57×1=5757 \times 1 = 57
  • Multiply the Denominators: 60×4=24060 \times 4 = 240
  • Form the New Fraction: 5760×41=57240\frac{57}{60} \times \frac{4}{1} = \frac{57}{240}

Let's Simplify 57240\frac{57}{240}

  • Find the Greatest Common Divisor (GCD) of 5757 and 240240. The GCD of 5757 and 240240 is 33.
  • Divide both the numerator and the denominator by the GCD:57÷3240÷3=1980\frac{57 \div 3}{240 \div 3} = \frac{19}{80}

Answer 5760÷41=1980\frac{57}{60}\div\frac{4}{1} = \frac{19}{80}


The following animation demonstrates the divide-by,

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