What is 99/75 Divided By 4/5

Solving $\frac{99}{75}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{99}{75} \div \frac{4}{5} = \frac{99}{75} \times \frac{5}{4}$

• Multiply the Numerators: $99 \times 5 = 495$
• Multiply the Denominators: $75 \times 4 = 300$
• Form the New Fraction: $\frac{99}{75} \times \frac{4}{5} = \frac{495}{300}$

Let's Simplify $\frac{495}{300}$

• Find the Greatest Common Divisor (GCD) of $495$ and $300$. The GCD of $495$ and $300$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{495 \div 15}{300 \div 15} = \frac{33}{20}$

Answer $\frac{99}{75}\div\frac{4}{5} = \frac{33}{20}$

The following animation demonstrates the divide-by,