What is 85/34 Divided By 9/4

Solving $\frac{85}{34}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{34} \div \frac{9}{4} = \frac{85}{34} \times \frac{4}{9}$

• Multiply the Numerators: $85 \times 4 = 340$
• Multiply the Denominators: $34 \times 9 = 306$
• Form the New Fraction: $\frac{85}{34} \times \frac{9}{4} = \frac{340}{306}$

Let's Simplify $\frac{340}{306}$

• Find the Greatest Common Divisor (GCD) of $340$ and $306$. The GCD of $340$ and $306$ is $34$.
• Divide both the numerator and the denominator by the GCD:$\frac{340 \div 34}{306 \div 34} = \frac{10}{9}$

Answer $\frac{85}{34}\div\frac{9}{4} = \frac{10}{9}$

The following animation demonstrates the divide-by,