What is 83/52 Divided By 3/2

Solving $\frac{83}{52}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{52} \div \frac{3}{2} = \frac{83}{52} \times \frac{2}{3}$

• Multiply the Numerators: $83 \times 2 = 166$
• Multiply the Denominators: $52 \times 3 = 156$
• Form the New Fraction: $\frac{83}{52} \times \frac{3}{2} = \frac{166}{156}$

Let's Simplify $\frac{166}{156}$

• Find the Greatest Common Divisor (GCD) of $166$ and $156$. The GCD of $166$ and $156$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{166 \div 2}{156 \div 2} = \frac{83}{78}$

Answer $\frac{83}{52}\div\frac{3}{2} = \frac{83}{78}$

The following animation demonstrates the divide-by,