What is 99/33 Divided By 7/8

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $99 \times 8 = 792$
• Multiply the Denominators: $33 \times 7 = 231$
• Form the New Fraction: $\frac{99}{33} \times \frac{7}{8} = \frac{792}{231}$

Let's Simplify $\frac{792}{231}$

• Find the Greatest Common Divisor (GCD) of $792$ and $231$. The GCD of $792$ and $231$ is $33$.
• Divide both the numerator and the denominator by the GCD:$\frac{792 \div 33}{231 \div 33} = \frac{24}{7}$

Answer $\frac{99}{33}\div\frac{7}{8} = \frac{24}{7}$

The following animation demonstrates the divide-by,