What is 85/75 Divided By 4/8

Solving $\frac{85}{75}\div\frac{4}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{75} \div \frac{4}{8} = \frac{85}{75} \times \frac{8}{4}$

• Multiply the Numerators: $85 \times 8 = 680$
• Multiply the Denominators: $75 \times 4 = 300$
• Form the New Fraction: $\frac{85}{75} \times \frac{4}{8} = \frac{680}{300}$

Let's Simplify $\frac{680}{300}$

• Find the Greatest Common Divisor (GCD) of $680$ and $300$. The GCD of $680$ and $300$ is $20$.
• Divide both the numerator and the denominator by the GCD:$\frac{680 \div 20}{300 \div 20} = \frac{34}{15}$

Answer $\frac{85}{75}\div\frac{4}{8} = \frac{34}{15}$

The following animation demonstrates the divide-by,