What is 66/75 Divided By 4/6

Solving $\frac{66}{75}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{66}{75} \div \frac{4}{6} = \frac{66}{75} \times \frac{6}{4}$

• Multiply the Numerators: $66 \times 6 = 396$
• Multiply the Denominators: $75 \times 4 = 300$
• Form the New Fraction: $\frac{66}{75} \times \frac{4}{6} = \frac{396}{300}$

Let's Simplify $\frac{396}{300}$

• Find the Greatest Common Divisor (GCD) of $396$ and $300$. The GCD of $396$ and $300$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{396 \div 12}{300 \div 12} = \frac{33}{25}$

Answer $\frac{66}{75}\div\frac{4}{6} = \frac{33}{25}$

The following animation demonstrates the divide-by,