What is 38/34 Divided By 6/9

Answer: 3834÷69\frac{38}{34}\div\frac{6}{9} = 5734\frac{57}{34}

Solving 3834÷69\frac{38}{34}\div\frac{6}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

3834÷69=3834×96\frac{38}{34} \div \frac{6}{9} = \frac{38}{34} \times \frac{9}{6}

  • Multiply the Numerators: 38×9=34238 \times 9 = 342
  • Multiply the Denominators: 34×6=20434 \times 6 = 204
  • Form the New Fraction: 3834×69=342204\frac{38}{34} \times \frac{6}{9} = \frac{342}{204}

Let's Simplify 342204\frac{342}{204}

  • Find the Greatest Common Divisor (GCD) of 342342 and 204204. The GCD of 342342 and 204204 is 66.
  • Divide both the numerator and the denominator by the GCD:342÷6204÷6=5734\frac{342 \div 6}{204 \div 6} = \frac{57}{34}

Answer 3834÷69=5734\frac{38}{34}\div\frac{6}{9} = \frac{57}{34}


The following animation demonstrates the divide-by,

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