What is 38/27 Divided By 6/9

Answer: 3827÷69\frac{38}{27}\div\frac{6}{9} = 199\frac{19}{9}

Solving 3827÷69\frac{38}{27}\div\frac{6}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

3827÷69=3827×96\frac{38}{27} \div \frac{6}{9} = \frac{38}{27} \times \frac{9}{6}

  • Multiply the Numerators: 38×9=34238 \times 9 = 342
  • Multiply the Denominators: 27×6=16227 \times 6 = 162
  • Form the New Fraction: 3827×69=342162\frac{38}{27} \times \frac{6}{9} = \frac{342}{162}

Let's Simplify 342162\frac{342}{162}

  • Find the Greatest Common Divisor (GCD) of 342342 and 162162. The GCD of 342342 and 162162 is 1818.
  • Divide both the numerator and the denominator by the GCD:342÷18162÷18=199\frac{342 \div 18}{162 \div 18} = \frac{19}{9}

Answer 3827÷69=199\frac{38}{27}\div\frac{6}{9} = \frac{19}{9}


The following animation demonstrates the divide-by,

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