What is 17/85 Divided By 4/1

Answer: 1785÷41\frac{17}{85}\div\frac{4}{1} = 120\frac{1}{20}

Solving 1785÷41\frac{17}{85}\div\frac{4}{1}

  • Rewrite the Division as Multiplication by the Reciprocal:

1785÷41=1785×14\frac{17}{85} \div \frac{4}{1} = \frac{17}{85} \times \frac{1}{4}

  • Multiply the Numerators: 17×1=1717 \times 1 = 17
  • Multiply the Denominators: 85×4=34085 \times 4 = 340
  • Form the New Fraction: 1785×41=17340\frac{17}{85} \times \frac{4}{1} = \frac{17}{340}

Let's Simplify 17340\frac{17}{340}

  • Find the Greatest Common Divisor (GCD) of 1717 and 340340. The GCD of 1717 and 340340 is 1717.
  • Divide both the numerator and the denominator by the GCD:17÷17340÷17=120\frac{17 \div 17}{340 \div 17} = \frac{1}{20}

Answer 1785÷41=120\frac{17}{85}\div\frac{4}{1} = \frac{1}{20}


The following animation demonstrates the divide-by,

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