What is 85/27 Divided By 5/3

Solving $\frac{85}{27}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{27} \div \frac{5}{3} = \frac{85}{27} \times \frac{3}{5}$

• Multiply the Numerators: $85 \times 3 = 255$
• Multiply the Denominators: $27 \times 5 = 135$
• Form the New Fraction: $\frac{85}{27} \times \frac{5}{3} = \frac{255}{135}$

Let's Simplify $\frac{255}{135}$

• Find the Greatest Common Divisor (GCD) of $255$ and $135$. The GCD of $255$ and $135$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{255 \div 15}{135 \div 15} = \frac{17}{9}$

Answer $\frac{85}{27}\div\frac{5}{3} = \frac{17}{9}$

The following animation demonstrates the divide-by,