What is 85/52 Divided By 4/9

Solving $\frac{85}{52}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{52} \div \frac{4}{9} = \frac{85}{52} \times \frac{9}{4}$

• Multiply the Numerators: $85 \times 9 = 765$
• Multiply the Denominators: $52 \times 4 = 208$
• Form the New Fraction: $\frac{85}{52} \times \frac{4}{9} = \frac{765}{208}$

Simplify - Since $\frac{765}{208}$​ is already in its simplest form (there are no common factors between $765$ and $208$ other than $1$), this is the final answer.

Answer $\frac{85}{52}\div\frac{4}{9} = \frac{765}{208}$

The following animation demonstrates the divide-by,