What is 38/17 Divided By 5/9

Solving $\frac{38}{17}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{17} \div \frac{5}{9} = \frac{38}{17} \times \frac{9}{5}$

• Multiply the Numerators: $38 \times 9 = 342$
• Multiply the Denominators: $17 \times 5 = 85$
• Form the New Fraction: $\frac{38}{17} \times \frac{5}{9} = \frac{342}{85}$

Simplify - Since $\frac{342}{85}$​ is already in its simplest form (there are no common factors between $342$ and $85$ other than $1$), this is the final answer.

Answer $\frac{38}{17}\div\frac{5}{9} = \frac{342}{85}$

The following animation demonstrates the divide-by,