What is 45/52 Divided By 1/6

Solving $\frac{45}{52}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{52} \div \frac{1}{6} = \frac{45}{52} \times \frac{6}{1}$

• Multiply the Numerators: $45 \times 6 = 270$
• Multiply the Denominators: $52 \times 1 = 52$
• Form the New Fraction: $\frac{45}{52} \times \frac{1}{6} = \frac{270}{52}$

Let's Simplify $\frac{270}{52}$

• Find the Greatest Common Divisor (GCD) of $270$ and $52$. The GCD of $270$ and $52$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{270 \div 2}{52 \div 2} = \frac{135}{26}$

Answer $\frac{45}{52}\div\frac{1}{6} = \frac{135}{26}$

The following animation demonstrates the divide-by,