What is 66/11 Divided By 4/7

Solving $\frac{66}{11}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{66}{11} \div \frac{4}{7} = \frac{66}{11} \times \frac{7}{4}$

• Multiply the Numerators: $66 \times 7 = 462$
• Multiply the Denominators: $11 \times 4 = 44$
• Form the New Fraction: $\frac{66}{11} \times \frac{4}{7} = \frac{462}{44}$

Let's Simplify $\frac{462}{44}$

• Find the Greatest Common Divisor (GCD) of $462$ and $44$. The GCD of $462$ and $44$ is $22$.
• Divide both the numerator and the denominator by the GCD:$\frac{462 \div 22}{44 \div 22} = \frac{21}{2}$

Answer $\frac{66}{11}\div\frac{4}{7} = \frac{21}{2}$

The following animation demonstrates the divide-by,