What is 76/11 Divided By 9/5

Solving $\frac{76}{11}\div\frac{9}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{11} \div \frac{9}{5} = \frac{76}{11} \times \frac{5}{9}$

• Multiply the Numerators: $76 \times 5 = 380$
• Multiply the Denominators: $11 \times 9 = 99$
• Form the New Fraction: $\frac{76}{11} \times \frac{9}{5} = \frac{380}{99}$

Simplify - Since $\frac{380}{99}$​ is already in its simplest form (there are no common factors between $380$ and $99$ other than $1$), this is the final answer.

Answer $\frac{76}{11}\div\frac{9}{5} = \frac{380}{99}$

The following animation demonstrates the divide-by,