What is 66/12 Divided By 5/9

Solving $\frac{66}{12}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{66}{12} \div \frac{5}{9} = \frac{66}{12} \times \frac{9}{5}$

• Multiply the Numerators: $66 \times 9 = 594$
• Multiply the Denominators: $12 \times 5 = 60$
• Form the New Fraction: $\frac{66}{12} \times \frac{5}{9} = \frac{594}{60}$

Let's Simplify $\frac{594}{60}$

• Find the Greatest Common Divisor (GCD) of $594$ and $60$. The GCD of $594$ and $60$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{594 \div 6}{60 \div 6} = \frac{99}{10}$

Answer $\frac{66}{12}\div\frac{5}{9} = \frac{99}{10}$

The following animation demonstrates the divide-by,