What is 22/33 Divided By 3/5

Solving $\frac{22}{33}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{33} \div \frac{3}{5} = \frac{22}{33} \times \frac{5}{3}$

• Multiply the Numerators: $22 \times 5 = 110$
• Multiply the Denominators: $33 \times 3 = 99$
• Form the New Fraction: $\frac{22}{33} \times \frac{3}{5} = \frac{110}{99}$

Let's Simplify $\frac{110}{99}$

• Find the Greatest Common Divisor (GCD) of $110$ and $99$. The GCD of $110$ and $99$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{110 \div 11}{99 \div 11} = \frac{10}{9}$

Answer $\frac{22}{33}\div\frac{3}{5} = \frac{10}{9}$

The following animation demonstrates the divide-by,