What is 22/33 Divided By 4/5

Solving $\frac{22}{33}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{33} \div \frac{4}{5} = \frac{22}{33} \times \frac{5}{4}$

• Multiply the Numerators: $22 \times 5 = 110$
• Multiply the Denominators: $33 \times 4 = 132$
• Form the New Fraction: $\frac{22}{33} \times \frac{4}{5} = \frac{110}{132}$

Let's Simplify $\frac{110}{132}$

• Find the Greatest Common Divisor (GCD) of $110$ and $132$. The GCD of $110$ and $132$ is $22$.
• Divide both the numerator and the denominator by the GCD:$\frac{110 \div 22}{132 \div 22} = \frac{5}{6}$

Answer $\frac{22}{33}\div\frac{4}{5} = \frac{5}{6}$

The following animation demonstrates the divide-by,