What is 52/39 Divided By 1/4

Solving $\frac{52}{39}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{39} \div \frac{1}{4} = \frac{52}{39} \times \frac{4}{1}$

• Multiply the Numerators: $52 \times 4 = 208$
• Multiply the Denominators: $39 \times 1 = 39$
• Form the New Fraction: $\frac{52}{39} \times \frac{1}{4} = \frac{208}{39}$

Let's Simplify $\frac{208}{39}$

• Find the Greatest Common Divisor (GCD) of $208$ and $39$. The GCD of $208$ and $39$ is $13$.
• Divide both the numerator and the denominator by the GCD:$\frac{208 \div 13}{39 \div 13} = \frac{16}{3}$

Answer $\frac{52}{39}\div\frac{1}{4} = \frac{16}{3}$

The following animation demonstrates the divide-by,