What is 75/39 Divided By 1/4

Solving $\frac{75}{39}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{39} \div \frac{1}{4} = \frac{75}{39} \times \frac{4}{1}$

• Multiply the Numerators: $75 \times 4 = 300$
• Multiply the Denominators: $39 \times 1 = 39$
• Form the New Fraction: $\frac{75}{39} \times \frac{1}{4} = \frac{300}{39}$

Let's Simplify $\frac{300}{39}$

• Find the Greatest Common Divisor (GCD) of $300$ and $39$. The GCD of $300$ and $39$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{300 \div 3}{39 \div 3} = \frac{100}{13}$

Answer $\frac{75}{39}\div\frac{1}{4} = \frac{100}{13}$

The following animation demonstrates the divide-by,