What is 85/17 Divided By 4/6

Solving $\frac{85}{17}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{17} \div \frac{4}{6} = \frac{85}{17} \times \frac{6}{4}$

• Multiply the Numerators: $85 \times 6 = 510$
• Multiply the Denominators: $17 \times 4 = 68$
• Form the New Fraction: $\frac{85}{17} \times \frac{4}{6} = \frac{510}{68}$

Let's Simplify $\frac{510}{68}$

• Find the Greatest Common Divisor (GCD) of $510$ and $68$. The GCD of $510$ and $68$ is $34$.
• Divide both the numerator and the denominator by the GCD:$\frac{510 \div 34}{68 \div 34} = \frac{15}{2}$

Answer $\frac{85}{17}\div\frac{4}{6} = \frac{15}{2}$

The following animation demonstrates the divide-by,