What is 34/52 Divided By 1/6

Solving $\frac{34}{52}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{52} \div \frac{1}{6} = \frac{34}{52} \times \frac{6}{1}$

• Multiply the Numerators: $34 \times 6 = 204$
• Multiply the Denominators: $52 \times 1 = 52$
• Form the New Fraction: $\frac{34}{52} \times \frac{1}{6} = \frac{204}{52}$

Let's Simplify $\frac{204}{52}$

• Find the Greatest Common Divisor (GCD) of $204$ and $52$. The GCD of $204$ and $52$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{204 \div 4}{52 \div 4} = \frac{51}{13}$

Answer $\frac{34}{52}\div\frac{1}{6} = \frac{51}{13}$

The following animation demonstrates the divide-by,