What is 34/12 Divided By 8/3

Answer: 3412÷83\frac{34}{12}\div\frac{8}{3} = 1716\frac{17}{16}

Solving 3412÷83\frac{34}{12}\div\frac{8}{3}

  • Rewrite the Division as Multiplication by the Reciprocal:

3412÷83=3412×38\frac{34}{12} \div \frac{8}{3} = \frac{34}{12} \times \frac{3}{8}

  • Multiply the Numerators: 34×3=10234 \times 3 = 102
  • Multiply the Denominators: 12×8=9612 \times 8 = 96
  • Form the New Fraction: 3412×83=10296\frac{34}{12} \times \frac{8}{3} = \frac{102}{96}

Let's Simplify 10296\frac{102}{96}

  • Find the Greatest Common Divisor (GCD) of 102102 and 9696. The GCD of 102102 and 9696 is 66.
  • Divide both the numerator and the denominator by the GCD:102÷696÷6=1716\frac{102 \div 6}{96 \div 6} = \frac{17}{16}

Answer 3412÷83=1716\frac{34}{12}\div\frac{8}{3} = \frac{17}{16}


The following animation demonstrates the divide-by,

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