What is 22/88 Divided By 5/9

Solving $\frac{22}{88}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{88} \div \frac{5}{9} = \frac{22}{88} \times \frac{9}{5}$

• Multiply the Numerators: $22 \times 9 = 198$
• Multiply the Denominators: $88 \times 5 = 440$
• Form the New Fraction: $\frac{22}{88} \times \frac{5}{9} = \frac{198}{440}$

Let's Simplify $\frac{198}{440}$

• Find the Greatest Common Divisor (GCD) of $198$ and $440$. The GCD of $198$ and $440$ is $22$.
• Divide both the numerator and the denominator by the GCD:$\frac{198 \div 22}{440 \div 22} = \frac{9}{20}$

Answer $\frac{22}{88}\div\frac{5}{9} = \frac{9}{20}$

The following animation demonstrates the divide-by,