What is 99/33 Divided By 5/7

Solving $\frac{99}{33}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{99}{33} \div \frac{5}{7} = \frac{99}{33} \times \frac{7}{5}$

• Multiply the Numerators: $99 \times 7 = 693$
• Multiply the Denominators: $33 \times 5 = 165$
• Form the New Fraction: $\frac{99}{33} \times \frac{5}{7} = \frac{693}{165}$

Let's Simplify $\frac{693}{165}$

• Find the Greatest Common Divisor (GCD) of $693$ and $165$. The GCD of $693$ and $165$ is $33$.
• Divide both the numerator and the denominator by the GCD:$\frac{693 \div 33}{165 \div 33} = \frac{21}{5}$

Answer $\frac{99}{33}\div\frac{5}{7} = \frac{21}{5}$

The following animation demonstrates the divide-by,