What is 66/42 Divided By 1/7

Solving $\frac{66}{42}\div\frac{1}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{66}{42} \div \frac{1}{7} = \frac{66}{42} \times \frac{7}{1}$

• Multiply the Numerators: $66 \times 7 = 462$
• Multiply the Denominators: $42 \times 1 = 42$
• Form the New Fraction: $\frac{66}{42} \times \frac{1}{7} = \frac{462}{42}$

Let's Simplify $\frac{462}{42}$

• Find the Greatest Common Divisor (GCD) of $462$ and $42$. The GCD of $462$ and $42$ is $42$.
• Divide both the numerator and the denominator by the GCD:$\frac{462 \div 42}{42 \div 42} = \frac{11}{1}$

Answer $\frac{66}{42}\div\frac{1}{7} = \frac{11}{1}$

The following animation demonstrates the divide-by,