What is 89/75 Divided By 1/4

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $89 \times 4 = 356$
• Multiply the Denominators: $75 \times 1 = 75$
• Form the New Fraction: $\frac{89}{75} \times \frac{1}{4} = \frac{356}{75}$

Simplify - Since $\frac{356}{75}$​ is already in its simplest form (there are no common factors between $356$ and $75$ other than $1$), this is the final answer.

Answer $\frac{89}{75}\div\frac{1}{4} = \frac{356}{75}$

The following animation demonstrates the divide-by,