What is 75/19 Divided By 1/4

Solving $\frac{75}{19}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{19} \div \frac{1}{4} = \frac{75}{19} \times \frac{4}{1}$

• Multiply the Numerators: $75 \times 4 = 300$
• Multiply the Denominators: $19 \times 1 = 19$
• Form the New Fraction: $\frac{75}{19} \times \frac{1}{4} = \frac{300}{19}$

Simplify - Since $\frac{300}{19}$​ is already in its simplest form (there are no common factors between $300$ and $19$ other than $1$), this is the final answer.

Answer $\frac{75}{19}\div\frac{1}{4} = \frac{300}{19}$

The following animation demonstrates the divide-by,