What is 99/22 Divided By 6/7

Solving $\frac{99}{22}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{99}{22} \div \frac{6}{7} = \frac{99}{22} \times \frac{7}{6}$

• Multiply the Numerators: $99 \times 7 = 693$
• Multiply the Denominators: $22 \times 6 = 132$
• Form the New Fraction: $\frac{99}{22} \times \frac{6}{7} = \frac{693}{132}$

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

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

Answer $\frac{99}{22}\div\frac{6}{7} = \frac{21}{4}$

The following animation demonstrates the divide-by,