What is 85/52 Divided By 5/3

Solving $\frac{85}{52}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{52} \div \frac{5}{3} = \frac{85}{52} \times \frac{3}{5}$

• Multiply the Numerators: $85 \times 3 = 255$
• Multiply the Denominators: $52 \times 5 = 260$
• Form the New Fraction: $\frac{85}{52} \times \frac{5}{3} = \frac{255}{260}$

Let's Simplify $\frac{255}{260}$

• Find the Greatest Common Divisor (GCD) of $255$ and $260$. The GCD of $255$ and $260$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{255 \div 5}{260 \div 5} = \frac{51}{52}$

Answer $\frac{85}{52}\div\frac{5}{3} = \frac{51}{52}$

The following animation demonstrates the divide-by,