What is 46/12 Divided By 3/2

Answer: 4612÷32\frac{46}{12}\div\frac{3}{2} = 239\frac{23}{9}

Solving 4612÷32\frac{46}{12}\div\frac{3}{2}

  • Rewrite the Division as Multiplication by the Reciprocal:

4612÷32=4612×23\frac{46}{12} \div \frac{3}{2} = \frac{46}{12} \times \frac{2}{3}

  • Multiply the Numerators: 46×2=9246 \times 2 = 92
  • Multiply the Denominators: 12×3=3612 \times 3 = 36
  • Form the New Fraction: 4612×32=9236\frac{46}{12} \times \frac{3}{2} = \frac{92}{36}

Let's Simplify 9236\frac{92}{36}

  • Find the Greatest Common Divisor (GCD) of 9292 and 3636. The GCD of 9292 and 3636 is 44.
  • Divide both the numerator and the denominator by the GCD:92÷436÷4=239\frac{92 \div 4}{36 \div 4} = \frac{23}{9}

Answer 4612÷32=239\frac{46}{12}\div\frac{3}{2} = \frac{23}{9}


The following animation demonstrates the divide-by,

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