What is 11/99 Divided By 2/7

Solving $\frac{11}{99}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{11}{99} \div \frac{2}{7} = \frac{11}{99} \times \frac{7}{2}$

• Multiply the Numerators: $11 \times 7 = 77$
• Multiply the Denominators: $99 \times 2 = 198$
• Form the New Fraction: $\frac{11}{99} \times \frac{2}{7} = \frac{77}{198}$

Let's Simplify $\frac{77}{198}$

• Find the Greatest Common Divisor (GCD) of $77$ and $198$. The GCD of $77$ and $198$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{77 \div 11}{198 \div 11} = \frac{7}{18}$

Answer $\frac{11}{99}\div\frac{2}{7} = \frac{7}{18}$

The following animation demonstrates the divide-by,