What is 99/11 Divided By 6/7

Solving $\frac{99}{11}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{99}{11} \div \frac{6}{7} = \frac{99}{11} \times \frac{7}{6}$

• Multiply the Numerators: $99 \times 7 = 693$
• Multiply the Denominators: $11 \times 6 = 66$
• Form the New Fraction: $\frac{99}{11} \times \frac{6}{7} = \frac{693}{66}$

Let's Simplify $\frac{693}{66}$

• Find the Greatest Common Divisor (GCD) of $693$ and $66$. The GCD of $693$ and $66$ is $33$.
• Divide both the numerator and the denominator by the GCD:$\frac{693 \div 33}{66 \div 33} = \frac{21}{2}$

Answer $\frac{99}{11}\div\frac{6}{7} = \frac{21}{2}$

The following animation demonstrates the divide-by,