What is 75/89 Divided By 1/4

Solving $\frac{75}{89}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{89} \div \frac{1}{4} = \frac{75}{89} \times \frac{4}{1}$

• Multiply the Numerators: $75 \times 4 = 300$
• Multiply the Denominators: $89 \times 1 = 89$
• Form the New Fraction: $\frac{75}{89} \times \frac{1}{4} = \frac{300}{89}$

Simplify - Since $\frac{300}{89}$​ is already in its simplest form (there are no common factors between $300$ and $89$ other than $1$), this is the final answer.

Answer $\frac{75}{89}\div\frac{1}{4} = \frac{300}{89}$

The following animation demonstrates the divide-by,