What is 85/75 Divided By 8/3

Solving $\frac{85}{75}\div\frac{8}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{75} \div \frac{8}{3} = \frac{85}{75} \times \frac{3}{8}$

• Multiply the Numerators: $85 \times 3 = 255$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{85}{75} \times \frac{8}{3} = \frac{255}{600}$

Let's Simplify $\frac{255}{600}$

• Find the Greatest Common Divisor (GCD) of $255$ and $600$. The GCD of $255$ and $600$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{255 \div 15}{600 \div 15} = \frac{17}{40}$

Answer $\frac{85}{75}\div\frac{8}{3} = \frac{17}{40}$

The following animation demonstrates the divide-by,