Express 0.375 in the form `p/q`.

Answer

To express 0.375 in the form \( \frac{p}{q} \), we can follow these steps:

### Step 1: Write the decimal as a fraction
We start with the decimal number 0.375. To express it as a fraction, we can write:
\[ 0.375 = \frac{375}{1000} \]

### Step 2: Simplify the fraction
Next, we need to simplify the fraction \( \frac{375}{1000} \). We can do this by finding the greatest common divisor (GCD) of the numerator and the denominator.

1. The factors of 375 are: \( 1, 3, 5, 15, 25, 75, 125, 375 \)
2. The factors of 1000 are: \( 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000 \)

The GCD of 375 and 1000 is 125.

### Step 3: Divide both the numerator and the denominator by the GCD
Now, we divide both the numerator and the denominator by their GCD:
\[ \frac{375 \div 125}{1000 \div 125} = \frac{3}{8} \]

### Step 4: Final result
Thus, we can express 0.375 in the form \( \frac{p}{q} \) as:
\[ 0.375 = \frac{3}{8} \]