What is 46/81 Divided By 3/8

Solving $\frac{46}{81}\div\frac{3}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{81} \div \frac{3}{8} = \frac{46}{81} \times \frac{8}{3}$

• Multiply the Numerators: $46 \times 8 = 368$
• Multiply the Denominators: $81 \times 3 = 243$
• Form the New Fraction: $\frac{46}{81} \times \frac{3}{8} = \frac{368}{243}$

Simplify - Since $\frac{368}{243}$​ is already in its simplest form (there are no common factors between $368$ and $243$ other than $1$), this is the final answer.

Answer $\frac{46}{81}\div\frac{3}{8} = \frac{368}{243}$

The following animation demonstrates the divide-by,