What is 26/75 Divided By 1/7

Solving $\frac{26}{75}\div\frac{1}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{75} \div \frac{1}{7} = \frac{26}{75} \times \frac{7}{1}$

• Multiply the Numerators: $26 \times 7 = 182$
• Multiply the Denominators: $75 \times 1 = 75$
• Form the New Fraction: $\frac{26}{75} \times \frac{1}{7} = \frac{182}{75}$

Simplify - Since $\frac{182}{75}$​ is already in its simplest form (there are no common factors between $182$ and $75$ other than $1$), this is the final answer.

Answer $\frac{26}{75}\div\frac{1}{7} = \frac{182}{75}$

The following animation demonstrates the divide-by,