What is 89/42 Divided By 3/2

Solving $\frac{89}{42}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{89}{42} \div \frac{3}{2} = \frac{89}{42} \times \frac{2}{3}$

• Multiply the Numerators: $89 \times 2 = 178$
• Multiply the Denominators: $42 \times 3 = 126$
• Form the New Fraction: $\frac{89}{42} \times \frac{3}{2} = \frac{178}{126}$

Let's Simplify $\frac{178}{126}$

• Find the Greatest Common Divisor (GCD) of $178$ and $126$. The GCD of $178$ and $126$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{178 \div 2}{126 \div 2} = \frac{89}{63}$

Answer $\frac{89}{42}\div\frac{3}{2} = \frac{89}{63}$

The following animation demonstrates the divide-by,