What is 22/33 Divided By 9/4

Solving $\frac{22}{33}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{33} \div \frac{9}{4} = \frac{22}{33} \times \frac{4}{9}$

• Multiply the Numerators: $22 \times 4 = 88$
• Multiply the Denominators: $33 \times 9 = 297$
• Form the New Fraction: $\frac{22}{33} \times \frac{9}{4} = \frac{88}{297}$

Let's Simplify $\frac{88}{297}$

• Find the Greatest Common Divisor (GCD) of $88$ and $297$. The GCD of $88$ and $297$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{88 \div 11}{297 \div 11} = \frac{8}{27}$

Answer $\frac{22}{33}\div\frac{9}{4} = \frac{8}{27}$

The following animation demonstrates the divide-by,