What is 57/61 Divided By 5/6

Solving $\frac{57}{61}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{61} \div \frac{5}{6} = \frac{57}{61} \times \frac{6}{5}$

• Multiply the Numerators: $57 \times 6 = 342$
• Multiply the Denominators: $61 \times 5 = 305$
• Form the New Fraction: $\frac{57}{61} \times \frac{5}{6} = \frac{342}{305}$

Simplify - Since $\frac{342}{305}$​ is already in its simplest form (there are no common factors between $342$ and $305$ other than $1$), this is the final answer.

Answer $\frac{57}{61}\div\frac{5}{6} = \frac{342}{305}$

The following animation demonstrates the divide-by,