What is 57/60 Divided By 6/1

Answer: 5760÷61\frac{57}{60}\div\frac{6}{1} = 19120\frac{19}{120}

Solving 5760÷61\frac{57}{60}\div\frac{6}{1}

  • Rewrite the Division as Multiplication by the Reciprocal:

5760÷61=5760×16\frac{57}{60} \div \frac{6}{1} = \frac{57}{60} \times \frac{1}{6}

  • Multiply the Numerators: 57×1=5757 \times 1 = 57
  • Multiply the Denominators: 60×6=36060 \times 6 = 360
  • Form the New Fraction: 5760×61=57360\frac{57}{60} \times \frac{6}{1} = \frac{57}{360}

Let's Simplify 57360\frac{57}{360}

  • Find the Greatest Common Divisor (GCD) of 5757 and 360360. The GCD of 5757 and 360360 is 33.
  • Divide both the numerator and the denominator by the GCD:57÷3360÷3=19120\frac{57 \div 3}{360 \div 3} = \frac{19}{120}

Answer 5760÷61=19120\frac{57}{60}\div\frac{6}{1} = \frac{19}{120}


The following animation demonstrates the divide-by,

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