What is 85/76 Divided By 5/2

Solving $\frac{85}{76}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{76} \div \frac{5}{2} = \frac{85}{76} \times \frac{2}{5}$

• Multiply the Numerators: $85 \times 2 = 170$
• Multiply the Denominators: $76 \times 5 = 380$
• Form the New Fraction: $\frac{85}{76} \times \frac{5}{2} = \frac{170}{380}$

Let's Simplify $\frac{170}{380}$

• Find the Greatest Common Divisor (GCD) of $170$ and $380$. The GCD of $170$ and $380$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{170 \div 10}{380 \div 10} = \frac{17}{38}$

Answer $\frac{85}{76}\div\frac{5}{2} = \frac{17}{38}$

The following animation demonstrates the divide-by,