What is 22/11 Divided By 3/2

Solving $\frac{22}{11}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{11} \div \frac{3}{2} = \frac{22}{11} \times \frac{2}{3}$

• Multiply the Numerators: $22 \times 2 = 44$
• Multiply the Denominators: $11 \times 3 = 33$
• Form the New Fraction: $\frac{22}{11} \times \frac{3}{2} = \frac{44}{33}$

Let's Simplify $\frac{44}{33}$

• Find the Greatest Common Divisor (GCD) of $44$ and $33$. The GCD of $44$ and $33$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{44 \div 11}{33 \div 11} = \frac{4}{3}$

Answer $\frac{22}{11}\div\frac{3}{2} = \frac{4}{3}$

The following animation demonstrates the divide-by,