What is 88/22 Divided By 2/9

Solving $\frac{88}{22}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{88}{22} \div \frac{2}{9} = \frac{88}{22} \times \frac{9}{2}$

• Multiply the Numerators: $88 \times 9 = 792$
• Multiply the Denominators: $22 \times 2 = 44$
• Form the New Fraction: $\frac{88}{22} \times \frac{2}{9} = \frac{792}{44}$

Let's Simplify $\frac{792}{44}$

• Find the Greatest Common Divisor (GCD) of $792$ and $44$. The GCD of $792$ and $44$ is $44$.
• Divide both the numerator and the denominator by the GCD:$\frac{792 \div 44}{44 \div 44} = \frac{18}{1}$

Answer $\frac{88}{22}\div\frac{2}{9} = \frac{18}{1}$

The following animation demonstrates the divide-by,