What is 34/12 Divided By 3/2

Answer: 3412÷32\frac{34}{12}\div\frac{3}{2} = 179\frac{17}{9}

Solving 3412÷32\frac{34}{12}\div\frac{3}{2}

  • Rewrite the Division as Multiplication by the Reciprocal:

3412÷32=3412×23\frac{34}{12} \div \frac{3}{2} = \frac{34}{12} \times \frac{2}{3}

  • Multiply the Numerators: 34×2=6834 \times 2 = 68
  • Multiply the Denominators: 12×3=3612 \times 3 = 36
  • Form the New Fraction: 3412×32=6836\frac{34}{12} \times \frac{3}{2} = \frac{68}{36}

Let's Simplify 6836\frac{68}{36}

  • Find the Greatest Common Divisor (GCD) of 6868 and 3636. The GCD of 6868 and 3636 is 44.
  • Divide both the numerator and the denominator by the GCD:68÷436÷4=179\frac{68 \div 4}{36 \div 4} = \frac{17}{9}

Answer 3412÷32=179\frac{34}{12}\div\frac{3}{2} = \frac{17}{9}


The following animation demonstrates the divide-by,

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