The problem is to evaluate the expression $\frac{5}{12} \times 400$.

1. Problem Description

The problem is to evaluate the expression $\frac{5}{12} \times 400$.

2. Solution Steps

First, we can rewrite the expression as:

$\frac{5}{12} \times 400 = \frac{5 \times 400}{12}$

Now, we can multiply $5$ by $400$:

$5 \times 400 = 2000$

So, the expression becomes:

$\frac{2000}{12}$

Now, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor. We can divide both by 4:

$\frac{2000 \div 4}{12 \div 4} = \frac{500}{3}$

We can write this as a mixed number by dividing 500 by

3. $500 \div 3 = 166$ with a remainder of $2$.

So $\frac{500}{3} = 166 \frac{2}{3}$

We can also write this as a decimal.

$\frac{500}{3} = 166.666... \approx 166.67$

3. Final Answer

$\frac{500}{3}$ or $166\frac{2}{3}$ or $166.67$ (approximately)