What is 46/61 Divided By 7/8

Solving $\frac{46}{61}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{61} \div \frac{7}{8} = \frac{46}{61} \times \frac{8}{7}$

• Multiply the Numerators: $46 \times 8 = 368$
• Multiply the Denominators: $61 \times 7 = 427$
• Form the New Fraction: $\frac{46}{61} \times \frac{7}{8} = \frac{368}{427}$

Simplify - Since $\frac{368}{427}$​ is already in its simplest form (there are no common factors between $368$ and $427$ other than $1$), this is the final answer.

Answer $\frac{46}{61}\div\frac{7}{8} = \frac{368}{427}$

The following animation demonstrates the divide-by,