What is 45/46 Divided By 1/7

Solving $\frac{45}{46}\div\frac{1}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{46} \div \frac{1}{7} = \frac{45}{46} \times \frac{7}{1}$

• Multiply the Numerators: $45 \times 7 = 315$
• Multiply the Denominators: $46 \times 1 = 46$
• Form the New Fraction: $\frac{45}{46} \times \frac{1}{7} = \frac{315}{46}$

Simplify - Since $\frac{315}{46}$​ is already in its simplest form (there are no common factors between $315$ and $46$ other than $1$), this is the final answer.

Answer $\frac{45}{46}\div\frac{1}{7} = \frac{315}{46}$

The following animation demonstrates the divide-by,