What is 34/38 Divided By 1/9

Answer: 3438÷19\frac{34}{38}\div\frac{1}{9} = 15319\frac{153}{19}

Solving 3438÷19\frac{34}{38}\div\frac{1}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

3438÷19=3438×91\frac{34}{38} \div \frac{1}{9} = \frac{34}{38} \times \frac{9}{1}

  • Multiply the Numerators: 34×9=30634 \times 9 = 306
  • Multiply the Denominators: 38×1=3838 \times 1 = 38
  • Form the New Fraction: 3438×19=30638\frac{34}{38} \times \frac{1}{9} = \frac{306}{38}

Let's Simplify 30638\frac{306}{38}

  • Find the Greatest Common Divisor (GCD) of 306306 and 3838. The GCD of 306306 and 3838 is 22.
  • Divide both the numerator and the denominator by the GCD:306÷238÷2=15319\frac{306 \div 2}{38 \div 2} = \frac{153}{19}

Answer 3438÷19=15319\frac{34}{38}\div\frac{1}{9} = \frac{153}{19}


The following animation demonstrates the divide-by,

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