What is 22/66 Divided By 3/5

Solving $\frac{22}{66}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{66} \div \frac{3}{5} = \frac{22}{66} \times \frac{5}{3}$

• Multiply the Numerators: $22 \times 5 = 110$
• Multiply the Denominators: $66 \times 3 = 198$
• Form the New Fraction: $\frac{22}{66} \times \frac{3}{5} = \frac{110}{198}$

Let's Simplify $\frac{110}{198}$

• Find the Greatest Common Divisor (GCD) of $110$ and $198$. The GCD of $110$ and $198$ is $22$.
• Divide both the numerator and the denominator by the GCD:$\frac{110 \div 22}{198 \div 22} = \frac{5}{9}$

Answer $\frac{22}{66}\div\frac{3}{5} = \frac{5}{9}$

The following animation demonstrates the divide-by,