What is 89/52 Divided By 3/2

Solving $\frac{89}{52}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{89}{52} \div \frac{3}{2} = \frac{89}{52} \times \frac{2}{3}$

• Multiply the Numerators: $89 \times 2 = 178$
• Multiply the Denominators: $52 \times 3 = 156$
• Form the New Fraction: $\frac{89}{52} \times \frac{3}{2} = \frac{178}{156}$

Let's Simplify $\frac{178}{156}$

• Find the Greatest Common Divisor (GCD) of $178$ and $156$. The GCD of $178$ and $156$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{178 \div 2}{156 \div 2} = \frac{89}{78}$

Answer $\frac{89}{52}\div\frac{3}{2} = \frac{89}{78}$

The following animation demonstrates the divide-by,