What is 99/22 Divided By 5/6

Solving $\frac{99}{22}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{99}{22} \div \frac{5}{6} = \frac{99}{22} \times \frac{6}{5}$

• Multiply the Numerators: $99 \times 6 = 594$
• Multiply the Denominators: $22 \times 5 = 110$
• Form the New Fraction: $\frac{99}{22} \times \frac{5}{6} = \frac{594}{110}$

Let's Simplify $\frac{594}{110}$

• Find the Greatest Common Divisor (GCD) of $594$ and $110$. The GCD of $594$ and $110$ is $22$.
• Divide both the numerator and the denominator by the GCD:$\frac{594 \div 22}{110 \div 22} = \frac{27}{5}$

Answer $\frac{99}{22}\div\frac{5}{6} = \frac{27}{5}$

The following animation demonstrates the divide-by,