What is 53/18 Divided By 7/9

Answer: 5318÷79\frac{53}{18}\div\frac{7}{9} = 5314\frac{53}{14}

Solving 5318÷79\frac{53}{18}\div\frac{7}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

5318÷79=5318×97\frac{53}{18} \div \frac{7}{9} = \frac{53}{18} \times \frac{9}{7}

  • Multiply the Numerators: 53×9=47753 \times 9 = 477
  • Multiply the Denominators: 18×7=12618 \times 7 = 126
  • Form the New Fraction: 5318×79=477126\frac{53}{18} \times \frac{7}{9} = \frac{477}{126}

Let's Simplify 477126\frac{477}{126}

  • Find the Greatest Common Divisor (GCD) of 477477 and 126126. The GCD of 477477 and 126126 is 99.
  • Divide both the numerator and the denominator by the GCD:477÷9126÷9=5314\frac{477 \div 9}{126 \div 9} = \frac{53}{14}

Answer 5318÷79=5314\frac{53}{18}\div\frac{7}{9} = \frac{53}{14}


The following animation demonstrates the divide-by,

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