What is 76/35 Divided By 5/9

Solving $\frac{76}{35}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{35} \div \frac{5}{9} = \frac{76}{35} \times \frac{9}{5}$

• Multiply the Numerators: $76 \times 9 = 684$
• Multiply the Denominators: $35 \times 5 = 175$
• Form the New Fraction: $\frac{76}{35} \times \frac{5}{9} = \frac{684}{175}$

Simplify - Since $\frac{684}{175}$​ is already in its simplest form (there are no common factors between $684$ and $175$ other than $1$), this is the final answer.

Answer $\frac{76}{35}\div\frac{5}{9} = \frac{684}{175}$

The following animation demonstrates the divide-by,