What is 52/75 Divided By 1/7

Solving $\frac{52}{75}\div\frac{1}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{75} \div \frac{1}{7} = \frac{52}{75} \times \frac{7}{1}$

• Multiply the Numerators: $52 \times 7 = 364$
• Multiply the Denominators: $75 \times 1 = 75$
• Form the New Fraction: $\frac{52}{75} \times \frac{1}{7} = \frac{364}{75}$

Simplify - Since $\frac{364}{75}$​ is already in its simplest form (there are no common factors between $364$ and $75$ other than $1$), this is the final answer.

Answer $\frac{52}{75}\div\frac{1}{7} = \frac{364}{75}$

The following animation demonstrates the divide-by,