What is 53/42 Divided By 5/9

Answer: 5342÷59\frac{53}{42}\div\frac{5}{9} = 15970\frac{159}{70}

Solving 5342÷59\frac{53}{42}\div\frac{5}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

5342÷59=5342×95\frac{53}{42} \div \frac{5}{9} = \frac{53}{42} \times \frac{9}{5}

  • Multiply the Numerators: 53×9=47753 \times 9 = 477
  • Multiply the Denominators: 42×5=21042 \times 5 = 210
  • Form the New Fraction: 5342×59=477210\frac{53}{42} \times \frac{5}{9} = \frac{477}{210}

Let's Simplify 477210\frac{477}{210}

  • Find the Greatest Common Divisor (GCD) of 477477 and 210210. The GCD of 477477 and 210210 is 33.
  • Divide both the numerator and the denominator by the GCD:477÷3210÷3=15970\frac{477 \div 3}{210 \div 3} = \frac{159}{70}

Answer 5342÷59=15970\frac{53}{42}\div\frac{5}{9} = \frac{159}{70}


The following animation demonstrates the divide-by,

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