What is 11/60 Divided By 1/4

Answer: 1160÷14\frac{11}{60}\div\frac{1}{4} = 1115\frac{11}{15}

Solving 1160÷14\frac{11}{60}\div\frac{1}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

1160÷14=1160×41\frac{11}{60} \div \frac{1}{4} = \frac{11}{60} \times \frac{4}{1}

  • Multiply the Numerators: 11×4=4411 \times 4 = 44
  • Multiply the Denominators: 60×1=6060 \times 1 = 60
  • Form the New Fraction: 1160×14=4460\frac{11}{60} \times \frac{1}{4} = \frac{44}{60}

Let's Simplify 4460\frac{44}{60}

  • Find the Greatest Common Divisor (GCD) of 4444 and 6060. The GCD of 4444 and 6060 is 44.
  • Divide both the numerator and the denominator by the GCD:44÷460÷4=1115\frac{44 \div 4}{60 \div 4} = \frac{11}{15}

Answer 1160÷14=1115\frac{11}{60}\div\frac{1}{4} = \frac{11}{15}


The following animation demonstrates the divide-by,

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