What is 33/99 Divided By 7/8

Solving $\frac{33}{99}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{99} \div \frac{7}{8} = \frac{33}{99} \times \frac{8}{7}$

• Multiply the Numerators: $33 \times 8 = 264$
• Multiply the Denominators: $99 \times 7 = 693$
• Form the New Fraction: $\frac{33}{99} \times \frac{7}{8} = \frac{264}{693}$

Let's Simplify $\frac{264}{693}$

• Find the Greatest Common Divisor (GCD) of $264$ and $693$. The GCD of $264$ and $693$ is $33$.
• Divide both the numerator and the denominator by the GCD:$\frac{264 \div 33}{693 \div 33} = \frac{8}{21}$

Answer $\frac{33}{99}\div\frac{7}{8} = \frac{8}{21}$

The following animation demonstrates the divide-by,