What is 22/52 Divided By 3/2

Solving $\frac{22}{52}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{52} \div \frac{3}{2} = \frac{22}{52} \times \frac{2}{3}$

• Multiply the Numerators: $22 \times 2 = 44$
• Multiply the Denominators: $52 \times 3 = 156$
• Form the New Fraction: $\frac{22}{52} \times \frac{3}{2} = \frac{44}{156}$

Let's Simplify $\frac{44}{156}$

• Find the Greatest Common Divisor (GCD) of $44$ and $156$. The GCD of $44$ and $156$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{44 \div 4}{156 \div 4} = \frac{11}{39}$

Answer $\frac{22}{52}\div\frac{3}{2} = \frac{11}{39}$

The following animation demonstrates the divide-by,