What is 11/99 Divided By 5/7

Solving $\frac{11}{99}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{11}{99} \div \frac{5}{7} = \frac{11}{99} \times \frac{7}{5}$

• Multiply the Numerators: $11 \times 7 = 77$
• Multiply the Denominators: $99 \times 5 = 495$
• Form the New Fraction: $\frac{11}{99} \times \frac{5}{7} = \frac{77}{495}$

Let's Simplify $\frac{77}{495}$

• Find the Greatest Common Divisor (GCD) of $77$ and $495$. The GCD of $77$ and $495$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{77 \div 11}{495 \div 11} = \frac{7}{45}$

Answer $\frac{11}{99}\div\frac{5}{7} = \frac{7}{45}$

The following animation demonstrates the divide-by,