What is 61/66 Divided By 3/9

Solving $\frac{61}{66}\div\frac{3}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{66} \div \frac{3}{9} = \frac{61}{66} \times \frac{9}{3}$

• Multiply the Numerators: $61 \times 9 = 549$
• Multiply the Denominators: $66 \times 3 = 198$
• Form the New Fraction: $\frac{61}{66} \times \frac{3}{9} = \frac{549}{198}$

Let's Simplify $\frac{549}{198}$

• Find the Greatest Common Divisor (GCD) of $549$ and $198$. The GCD of $549$ and $198$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{549 \div 9}{198 \div 9} = \frac{61}{22}$

Answer $\frac{61}{66}\div\frac{3}{9} = \frac{61}{22}$

The following animation demonstrates the divide-by,