What is 19/42 Divided By 5/3

Answer: 1942÷53\frac{19}{42}\div\frac{5}{3} = 1970\frac{19}{70}

Solving 1942÷53\frac{19}{42}\div\frac{5}{3}

  • Rewrite the Division as Multiplication by the Reciprocal:

1942÷53=1942×35\frac{19}{42} \div \frac{5}{3} = \frac{19}{42} \times \frac{3}{5}

  • Multiply the Numerators: 19×3=5719 \times 3 = 57
  • Multiply the Denominators: 42×5=21042 \times 5 = 210
  • Form the New Fraction: 1942×53=57210\frac{19}{42} \times \frac{5}{3} = \frac{57}{210}

Let's Simplify 57210\frac{57}{210}

  • Find the Greatest Common Divisor (GCD) of 5757 and 210210. The GCD of 5757 and 210210 is 33.
  • Divide both the numerator and the denominator by the GCD:57÷3210÷3=1970\frac{57 \div 3}{210 \div 3} = \frac{19}{70}

Answer 1942÷53=1970\frac{19}{42}\div\frac{5}{3} = \frac{19}{70}


The following animation demonstrates the divide-by,

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