What is 61/19 Divided By 9/5

Solving $\frac{61}{19}\div\frac{9}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{19} \div \frac{9}{5} = \frac{61}{19} \times \frac{5}{9}$

• Multiply the Numerators: $61 \times 5 = 305$
• Multiply the Denominators: $19 \times 9 = 171$
• Form the New Fraction: $\frac{61}{19} \times \frac{9}{5} = \frac{305}{171}$

Simplify - Since $\frac{305}{171}$​ is already in its simplest form (there are no common factors between $305$ and $171$ other than $1$), this is the final answer.

Answer $\frac{61}{19}\div\frac{9}{5} = \frac{305}{171}$

The following animation demonstrates the divide-by,