What is 34/75 Divided By 1/7

Solving $\frac{34}{75}\div\frac{1}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{75} \div \frac{1}{7} = \frac{34}{75} \times \frac{7}{1}$

• Multiply the Numerators: $34 \times 7 = 238$
• Multiply the Denominators: $75 \times 1 = 75$
• Form the New Fraction: $\frac{34}{75} \times \frac{1}{7} = \frac{238}{75}$

Simplify - Since $\frac{238}{75}$​ is already in its simplest form (there are no common factors between $238$ and $75$ other than $1$), this is the final answer.

Answer $\frac{34}{75}\div\frac{1}{7} = \frac{238}{75}$

The following animation demonstrates the divide-by,