What is 85/75 Divided By 8/9

Solving $\frac{85}{75}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{75} \div \frac{8}{9} = \frac{85}{75} \times \frac{9}{8}$

• Multiply the Numerators: $85 \times 9 = 765$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{85}{75} \times \frac{8}{9} = \frac{765}{600}$

Let's Simplify $\frac{765}{600}$

• Find the Greatest Common Divisor (GCD) of $765$ and $600$. The GCD of $765$ and $600$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{765 \div 15}{600 \div 15} = \frac{51}{40}$

Answer $\frac{85}{75}\div\frac{8}{9} = \frac{51}{40}$

The following animation demonstrates the divide-by,