What is 75/85 Divided By 2/8

Solving $\frac{75}{85}\div\frac{2}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{85} \div \frac{2}{8} = \frac{75}{85} \times \frac{8}{2}$

• Multiply the Numerators: $75 \times 8 = 600$
• Multiply the Denominators: $85 \times 2 = 170$
• Form the New Fraction: $\frac{75}{85} \times \frac{2}{8} = \frac{600}{170}$

Let's Simplify $\frac{600}{170}$

• Find the Greatest Common Divisor (GCD) of $600$ and $170$. The GCD of $600$ and $170$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{600 \div 10}{170 \div 10} = \frac{60}{17}$

Answer $\frac{75}{85}\div\frac{2}{8} = \frac{60}{17}$

The following animation demonstrates the divide-by,