What is 89/34 Divided By 3/2

Answer: 8934÷32\frac{89}{34}\div\frac{3}{2} = 8951\frac{89}{51}

Solving 8934÷32\frac{89}{34}\div\frac{3}{2}

  • Rewrite the Division as Multiplication by the Reciprocal:

8934÷32=8934×23\frac{89}{34} \div \frac{3}{2} = \frac{89}{34} \times \frac{2}{3}

  • Multiply the Numerators: 89×2=17889 \times 2 = 178
  • Multiply the Denominators: 34×3=10234 \times 3 = 102
  • Form the New Fraction: 8934×32=178102\frac{89}{34} \times \frac{3}{2} = \frac{178}{102}

Let's Simplify 178102\frac{178}{102}

  • Find the Greatest Common Divisor (GCD) of 178178 and 102102. The GCD of 178178 and 102102 is 22.
  • Divide both the numerator and the denominator by the GCD:178÷2102÷2=8951\frac{178 \div 2}{102 \div 2} = \frac{89}{51}

Answer 8934÷32=8951\frac{89}{34}\div\frac{3}{2} = \frac{89}{51}


The following animation demonstrates the divide-by,

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