What is 85/17 Divided By 6/9

Solving $\frac{85}{17}\div\frac{6}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{17} \div \frac{6}{9} = \frac{85}{17} \times \frac{9}{6}$

• Multiply the Numerators: $85 \times 9 = 765$
• Multiply the Denominators: $17 \times 6 = 102$
• Form the New Fraction: $\frac{85}{17} \times \frac{6}{9} = \frac{765}{102}$

Let's Simplify $\frac{765}{102}$

• Find the Greatest Common Divisor (GCD) of $765$ and $102$. The GCD of $765$ and $102$ is $51$.
• Divide both the numerator and the denominator by the GCD:$\frac{765 \div 51}{102 \div 51} = \frac{15}{2}$

Answer $\frac{85}{17}\div\frac{6}{9} = \frac{15}{2}$

The following animation demonstrates the divide-by,