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 and 400:

$5 \times 400 = 2000$

So the expression becomes:

$\frac{2000}{12}$

Now, we simplify the fraction. We can divide both the numerator and the denominator by their greatest common divisor, which is

4. $\frac{2000}{4} = 500$

$\frac{12}{4} = 3$

Thus, $\frac{2000}{12} = \frac{500}{3}$

Now, we can convert the improper fraction to a mixed number or a decimal.

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

To convert to a decimal, we divide 500 by

3. $500 \div 3 = 166.666...$

Rounding to two decimal places, we get 166.

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3. Final Answer

The final answer is $\frac{500}{3}$ or $166\frac{2}{3}$ or approximately $166.67$.