What is 46/75 Divided By 5/8

Solving $\frac{46}{75}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{75} \div \frac{5}{8} = \frac{46}{75} \times \frac{8}{5}$

• Multiply the Numerators: $46 \times 8 = 368$
• Multiply the Denominators: $75 \times 5 = 375$
• Form the New Fraction: $\frac{46}{75} \times \frac{5}{8} = \frac{368}{375}$

Simplify - Since $\frac{368}{375}$​ is already in its simplest form (there are no common factors between $368$ and $375$ other than $1$), this is the final answer.

Answer $\frac{46}{75}\div\frac{5}{8} = \frac{368}{375}$

The following animation demonstrates the divide-by,