What is 11/66 Divided By 5/7

Solving $\frac{11}{66}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{11}{66} \div \frac{5}{7} = \frac{11}{66} \times \frac{7}{5}$

• Multiply the Numerators: $11 \times 7 = 77$
• Multiply the Denominators: $66 \times 5 = 330$
• Form the New Fraction: $\frac{11}{66} \times \frac{5}{7} = \frac{77}{330}$

Let's Simplify $\frac{77}{330}$

• Find the Greatest Common Divisor (GCD) of $77$ and $330$. The GCD of $77$ and $330$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{77 \div 11}{330 \div 11} = \frac{7}{30}$

Answer $\frac{11}{66}\div\frac{5}{7} = \frac{7}{30}$

The following animation demonstrates the divide-by,