What is 85/26 Divided By 1/7

Solving $\frac{85}{26}\div\frac{1}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{26} \div \frac{1}{7} = \frac{85}{26} \times \frac{7}{1}$

• Multiply the Numerators: $85 \times 7 = 595$
• Multiply the Denominators: $26 \times 1 = 26$
• Form the New Fraction: $\frac{85}{26} \times \frac{1}{7} = \frac{595}{26}$

Simplify - Since $\frac{595}{26}$​ is already in its simplest form (there are no common factors between $595$ and $26$ other than $1$), this is the final answer.

Answer $\frac{85}{26}\div\frac{1}{7} = \frac{595}{26}$

The following animation demonstrates the divide-by,