What is 85/75 Divided By 8/4

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $85 \times 4 = 340$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{85}{75} \times \frac{8}{4} = \frac{340}{600}$

Let's Simplify $\frac{340}{600}$

• Find the Greatest Common Divisor (GCD) of $340$ and $600$. The GCD of $340$ and $600$ is $20$.
• Divide both the numerator and the denominator by the GCD:$\frac{340 \div 20}{600 \div 20} = \frac{17}{30}$

Answer $\frac{85}{75}\div\frac{8}{4} = \frac{17}{30}$

The following animation demonstrates the divide-by,