What is 46/89 Divided By 5/6

Solving $\frac{46}{89}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{89} \div \frac{5}{6} = \frac{46}{89} \times \frac{6}{5}$

• Multiply the Numerators: $46 \times 6 = 276$
• Multiply the Denominators: $89 \times 5 = 445$
• Form the New Fraction: $\frac{46}{89} \times \frac{5}{6} = \frac{276}{445}$

Simplify - Since $\frac{276}{445}$​ is already in its simplest form (there are no common factors between $276$ and $445$ other than $1$), this is the final answer.

Answer $\frac{46}{89}\div\frac{5}{6} = \frac{276}{445}$

The following animation demonstrates the divide-by,