What is 28/72 Divided By 1/7

Answer: 2872÷17\frac{28}{72}\div\frac{1}{7} = 4918\frac{49}{18}

Solving 2872÷17\frac{28}{72}\div\frac{1}{7}

  • Rewrite the Division as Multiplication by the Reciprocal:

2872÷17=2872×71\frac{28}{72} \div \frac{1}{7} = \frac{28}{72} \times \frac{7}{1}

  • Multiply the Numerators: 28×7=19628 \times 7 = 196
  • Multiply the Denominators: 72×1=7272 \times 1 = 72
  • Form the New Fraction: 2872×17=19672\frac{28}{72} \times \frac{1}{7} = \frac{196}{72}

Let's Simplify 19672\frac{196}{72}

  • Find the Greatest Common Divisor (GCD) of 196196 and 7272. The GCD of 196196 and 7272 is 44.
  • Divide both the numerator and the denominator by the GCD:196÷472÷4=4918\frac{196 \div 4}{72 \div 4} = \frac{49}{18}

Answer 2872÷17=4918\frac{28}{72}\div\frac{1}{7} = \frac{49}{18}


The following animation demonstrates the divide-by,

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