What is 85/34 Divided By 2/9

Solving $\frac{85}{34}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{34} \div \frac{2}{9} = \frac{85}{34} \times \frac{9}{2}$

• Multiply the Numerators: $85 \times 9 = 765$
• Multiply the Denominators: $34 \times 2 = 68$
• Form the New Fraction: $\frac{85}{34} \times \frac{2}{9} = \frac{765}{68}$

Let's Simplify $\frac{765}{68}$

• Find the Greatest Common Divisor (GCD) of $765$ and $68$. The GCD of $765$ and $68$ is $17$.
• Divide both the numerator and the denominator by the GCD:$\frac{765 \div 17}{68 \div 17} = \frac{45}{4}$

Answer $\frac{85}{34}\div\frac{2}{9} = \frac{45}{4}$

The following animation demonstrates the divide-by,