What is 57/43 Divided By 9/2

Answer: 5743÷92\frac{57}{43}\div\frac{9}{2} = 38129\frac{38}{129}

Solving 5743÷92\frac{57}{43}\div\frac{9}{2}

  • Rewrite the Division as Multiplication by the Reciprocal:

5743÷92=5743×29\frac{57}{43} \div \frac{9}{2} = \frac{57}{43} \times \frac{2}{9}

  • Multiply the Numerators: 57×2=11457 \times 2 = 114
  • Multiply the Denominators: 43×9=38743 \times 9 = 387
  • Form the New Fraction: 5743×92=114387\frac{57}{43} \times \frac{9}{2} = \frac{114}{387}

Let's Simplify 114387\frac{114}{387}

  • Find the Greatest Common Divisor (GCD) of 114114 and 387387. The GCD of 114114 and 387387 is 33.
  • Divide both the numerator and the denominator by the GCD:114÷3387÷3=38129\frac{114 \div 3}{387 \div 3} = \frac{38}{129}

Answer 5743÷92=38129\frac{57}{43}\div\frac{9}{2} = \frac{38}{129}


The following animation demonstrates the divide-by,

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