What is 66/11 Divided By 5/7

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $66 \times 7 = 462$
• Multiply the Denominators: $11 \times 5 = 55$
• Form the New Fraction: $\frac{66}{11} \times \frac{5}{7} = \frac{462}{55}$

Let's Simplify $\frac{462}{55}$

• Find the Greatest Common Divisor (GCD) of $462$ and $55$. The GCD of $462$ and $55$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{462 \div 11}{55 \div 11} = \frac{42}{5}$

Answer $\frac{66}{11}\div\frac{5}{7} = \frac{42}{5}$

The following animation demonstrates the divide-by,