What is 46/75 Divided By 9/8

Solving $\frac{46}{75}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{75} \div \frac{9}{8} = \frac{46}{75} \times \frac{8}{9}$

• Multiply the Numerators: $46 \times 8 = 368$
• Multiply the Denominators: $75 \times 9 = 675$
• Form the New Fraction: $\frac{46}{75} \times \frac{9}{8} = \frac{368}{675}$

Simplify - Since $\frac{368}{675}$​ is already in its simplest form (there are no common factors between $368$ and $675$ other than $1$), this is the final answer.

Answer $\frac{46}{75}\div\frac{9}{8} = \frac{368}{675}$

The following animation demonstrates the divide-by,