What is 26/17 Divided By 5/3

Solving $\frac{26}{17}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{17} \div \frac{5}{3} = \frac{26}{17} \times \frac{3}{5}$

• Multiply the Numerators: $26 \times 3 = 78$
• Multiply the Denominators: $17 \times 5 = 85$
• Form the New Fraction: $\frac{26}{17} \times \frac{5}{3} = \frac{78}{85}$

Simplify - Since $\frac{78}{85}$​ is already in its simplest form (there are no common factors between $78$ and $85$ other than $1$), this is the final answer.

Answer $\frac{26}{17}\div\frac{5}{3} = \frac{78}{85}$

The following animation demonstrates the divide-by,