What is 17/38 Divided By 6/5

Solving $\frac{17}{38}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{38} \div \frac{6}{5} = \frac{17}{38} \times \frac{5}{6}$

• Multiply the Numerators: $17 \times 5 = 85$
• Multiply the Denominators: $38 \times 6 = 228$
• Form the New Fraction: $\frac{17}{38} \times \frac{6}{5} = \frac{85}{228}$

Simplify - Since $\frac{85}{228}$​ is already in its simplest form (there are no common factors between $85$ and $228$ other than $1$), this is the final answer.

Answer $\frac{17}{38}\div\frac{6}{5} = \frac{85}{228}$

The following animation demonstrates the divide-by,