What is 28/60 Divided By 1/4

Answer: 2860÷14\frac{28}{60}\div\frac{1}{4} = 2815\frac{28}{15}

Solving 2860÷14\frac{28}{60}\div\frac{1}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

2860÷14=2860×41\frac{28}{60} \div \frac{1}{4} = \frac{28}{60} \times \frac{4}{1}

  • Multiply the Numerators: 28×4=11228 \times 4 = 112
  • Multiply the Denominators: 60×1=6060 \times 1 = 60
  • Form the New Fraction: 2860×14=11260\frac{28}{60} \times \frac{1}{4} = \frac{112}{60}

Let's Simplify 11260\frac{112}{60}

  • Find the Greatest Common Divisor (GCD) of 112112 and 6060. The GCD of 112112 and 6060 is 44.
  • Divide both the numerator and the denominator by the GCD:112÷460÷4=2815\frac{112 \div 4}{60 \div 4} = \frac{28}{15}

Answer 2860÷14=2815\frac{28}{60}\div\frac{1}{4} = \frac{28}{15}


The following animation demonstrates the divide-by,

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