What is 85/52 Divided By 1/4

Solving $\frac{85}{52}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{52} \div \frac{1}{4} = \frac{85}{52} \times \frac{4}{1}$

• Multiply the Numerators: $85 \times 4 = 340$
• Multiply the Denominators: $52 \times 1 = 52$
• Form the New Fraction: $\frac{85}{52} \times \frac{1}{4} = \frac{340}{52}$

Let's Simplify $\frac{340}{52}$

• Find the Greatest Common Divisor (GCD) of $340$ and $52$. The GCD of $340$ and $52$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{340 \div 4}{52 \div 4} = \frac{85}{13}$

Answer $\frac{85}{52}\div\frac{1}{4} = \frac{85}{13}$

The following animation demonstrates the divide-by,