What is 38/50 Divided By 9/2

Answer: 3850÷92\frac{38}{50}\div\frac{9}{2} = 38225\frac{38}{225}

Solving 3850÷92\frac{38}{50}\div\frac{9}{2}

  • Rewrite the Division as Multiplication by the Reciprocal:

3850÷92=3850×29\frac{38}{50} \div \frac{9}{2} = \frac{38}{50} \times \frac{2}{9}

  • Multiply the Numerators: 38×2=7638 \times 2 = 76
  • Multiply the Denominators: 50×9=45050 \times 9 = 450
  • Form the New Fraction: 3850×92=76450\frac{38}{50} \times \frac{9}{2} = \frac{76}{450}

Let's Simplify 76450\frac{76}{450}

  • Find the Greatest Common Divisor (GCD) of 7676 and 450450. The GCD of 7676 and 450450 is 22.
  • Divide both the numerator and the denominator by the GCD:76÷2450÷2=38225\frac{76 \div 2}{450 \div 2} = \frac{38}{225}

Answer 3850÷92=38225\frac{38}{50}\div\frac{9}{2} = \frac{38}{225}


The following animation demonstrates the divide-by,

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