What is 85/81 Divided By 5/9

Solving $\frac{85}{81}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{81} \div \frac{5}{9} = \frac{85}{81} \times \frac{9}{5}$

• Multiply the Numerators: $85 \times 9 = 765$
• Multiply the Denominators: $81 \times 5 = 405$
• Form the New Fraction: $\frac{85}{81} \times \frac{5}{9} = \frac{765}{405}$

Let's Simplify $\frac{765}{405}$

• Find the Greatest Common Divisor (GCD) of $765$ and $405$. The GCD of $765$ and $405$ is $45$.
• Divide both the numerator and the denominator by the GCD:$\frac{765 \div 45}{405 \div 45} = \frac{17}{9}$

Answer $\frac{85}{81}\div\frac{5}{9} = \frac{17}{9}$

The following animation demonstrates the divide-by,