What is 66/75 Divided By 9/6

Solving $\frac{66}{75}\div\frac{9}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{66}{75} \div \frac{9}{6} = \frac{66}{75} \times \frac{6}{9}$

• Multiply the Numerators: $66 \times 6 = 396$
• Multiply the Denominators: $75 \times 9 = 675$
• Form the New Fraction: $\frac{66}{75} \times \frac{9}{6} = \frac{396}{675}$

Let's Simplify $\frac{396}{675}$

• Find the Greatest Common Divisor (GCD) of $396$ and $675$. The GCD of $396$ and $675$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{396 \div 9}{675 \div 9} = \frac{44}{75}$

Answer $\frac{66}{75}\div\frac{9}{6} = \frac{44}{75}$

The following animation demonstrates the divide-by,