What is 22/99 Divided By 5/3

Solving $\frac{22}{99}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{99} \div \frac{5}{3} = \frac{22}{99} \times \frac{3}{5}$

• Multiply the Numerators: $22 \times 3 = 66$
• Multiply the Denominators: $99 \times 5 = 495$
• Form the New Fraction: $\frac{22}{99} \times \frac{5}{3} = \frac{66}{495}$

Let's Simplify $\frac{66}{495}$

• Find the Greatest Common Divisor (GCD) of $66$ and $495$. The GCD of $66$ and $495$ is $33$.
• Divide both the numerator and the denominator by the GCD:$\frac{66 \div 33}{495 \div 33} = \frac{2}{15}$

Answer $\frac{22}{99}\div\frac{5}{3} = \frac{2}{15}$

The following animation demonstrates the divide-by,