What is 85/76 Divided By 5/3

Solving $\frac{85}{76}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{76} \div \frac{5}{3} = \frac{85}{76} \times \frac{3}{5}$

• Multiply the Numerators: $85 \times 3 = 255$
• Multiply the Denominators: $76 \times 5 = 380$
• Form the New Fraction: $\frac{85}{76} \times \frac{5}{3} = \frac{255}{380}$

Let's Simplify $\frac{255}{380}$

• Find the Greatest Common Divisor (GCD) of $255$ and $380$. The GCD of $255$ and $380$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{255 \div 5}{380 \div 5} = \frac{51}{76}$

Answer $\frac{85}{76}\div\frac{5}{3} = \frac{51}{76}$

The following animation demonstrates the divide-by,