What is 46/75 Divided By 7/2

Solving $\frac{46}{75}\div\frac{7}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{75} \div \frac{7}{2} = \frac{46}{75} \times \frac{2}{7}$

• Multiply the Numerators: $46 \times 2 = 92$
• Multiply the Denominators: $75 \times 7 = 525$
• Form the New Fraction: $\frac{46}{75} \times \frac{7}{2} = \frac{92}{525}$

Simplify - Since $\frac{92}{525}$​ is already in its simplest form (there are no common factors between $92$ and $525$ other than $1$), this is the final answer.

Answer $\frac{46}{75}\div\frac{7}{2} = \frac{92}{525}$

The following animation demonstrates the divide-by,