What is 85/89 Divided By 3/9

Solving $\frac{85}{89}\div\frac{3}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{89} \div \frac{3}{9} = \frac{85}{89} \times \frac{9}{3}$

• Multiply the Numerators: $85 \times 9 = 765$
• Multiply the Denominators: $89 \times 3 = 267$
• Form the New Fraction: $\frac{85}{89} \times \frac{3}{9} = \frac{765}{267}$

Let's Simplify $\frac{765}{267}$

• Find the Greatest Common Divisor (GCD) of $765$ and $267$. The GCD of $765$ and $267$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{765 \div 3}{267 \div 3} = \frac{255}{89}$

Answer $\frac{85}{89}\div\frac{3}{9} = \frac{255}{89}$

The following animation demonstrates the divide-by,