What is 33/99 Divided By 7/4

Solving $\frac{33}{99}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{99} \div \frac{7}{4} = \frac{33}{99} \times \frac{4}{7}$

• Multiply the Numerators: $33 \times 4 = 132$
• Multiply the Denominators: $99 \times 7 = 693$
• Form the New Fraction: $\frac{33}{99} \times \frac{7}{4} = \frac{132}{693}$

Let's Simplify $\frac{132}{693}$

• Find the Greatest Common Divisor (GCD) of $132$ and $693$. The GCD of $132$ and $693$ is $33$.
• Divide both the numerator and the denominator by the GCD:$\frac{132 \div 33}{693 \div 33} = \frac{4}{21}$

Answer $\frac{33}{99}\div\frac{7}{4} = \frac{4}{21}$

The following animation demonstrates the divide-by,