What is 22/99 Divided By 4/6

Solving $\frac{22}{99}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{99} \div \frac{4}{6} = \frac{22}{99} \times \frac{6}{4}$

• Multiply the Numerators: $22 \times 6 = 132$
• Multiply the Denominators: $99 \times 4 = 396$
• Form the New Fraction: $\frac{22}{99} \times \frac{4}{6} = \frac{132}{396}$

Let's Simplify $\frac{132}{396}$

• Find the Greatest Common Divisor (GCD) of $132$ and $396$. The GCD of $132$ and $396$ is $132$.
• Divide both the numerator and the denominator by the GCD:$\frac{132 \div 132}{396 \div 132} = \frac{1}{3}$

Answer $\frac{22}{99}\div\frac{4}{6} = \frac{1}{3}$

The following animation demonstrates the divide-by,