What is 11/33 Divided By 9/7

Solving $\frac{11}{33}\div\frac{9}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{11}{33} \div \frac{9}{7} = \frac{11}{33} \times \frac{7}{9}$

• Multiply the Numerators: $11 \times 7 = 77$
• Multiply the Denominators: $33 \times 9 = 297$
• Form the New Fraction: $\frac{11}{33} \times \frac{9}{7} = \frac{77}{297}$

Let's Simplify $\frac{77}{297}$

• Find the Greatest Common Divisor (GCD) of $77$ and $297$. The GCD of $77$ and $297$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{77 \div 11}{297 \div 11} = \frac{7}{27}$

Answer $\frac{11}{33}\div\frac{9}{7} = \frac{7}{27}$

The following animation demonstrates the divide-by,