What is 17/38 Divided By 5/3

Solving $\frac{17}{38}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{38} \div \frac{5}{3} = \frac{17}{38} \times \frac{3}{5}$

• Multiply the Numerators: $17 \times 3 = 51$
• Multiply the Denominators: $38 \times 5 = 190$
• Form the New Fraction: $\frac{17}{38} \times \frac{5}{3} = \frac{51}{190}$

Simplify - Since $\frac{51}{190}$​ is already in its simplest form (there are no common factors between $51$ and $190$ other than $1$), this is the final answer.

Answer $\frac{17}{38}\div\frac{5}{3} = \frac{51}{190}$

The following animation demonstrates the divide-by,