What is 19/99 Divided By 2/3

Answer: 1999÷23\frac{19}{99}\div\frac{2}{3} = 1966\frac{19}{66}

Solving 1999÷23\frac{19}{99}\div\frac{2}{3}

  • Rewrite the Division as Multiplication by the Reciprocal:

1999÷23=1999×32\frac{19}{99} \div \frac{2}{3} = \frac{19}{99} \times \frac{3}{2}

  • Multiply the Numerators: 19×3=5719 \times 3 = 57
  • Multiply the Denominators: 99×2=19899 \times 2 = 198
  • Form the New Fraction: 1999×23=57198\frac{19}{99} \times \frac{2}{3} = \frac{57}{198}

Let's Simplify 57198\frac{57}{198}

  • Find the Greatest Common Divisor (GCD) of 5757 and 198198. The GCD of 5757 and 198198 is 33.
  • Divide both the numerator and the denominator by the GCD:57÷3198÷3=1966\frac{57 \div 3}{198 \div 3} = \frac{19}{66}

Answer 1999÷23=1966\frac{19}{99}\div\frac{2}{3} = \frac{19}{66}


The following animation demonstrates the divide-by,

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