The value of 0.1875 as a fraction is equal to 3/16. We first write 0.1875 as 1875/10000 and then cancel the common factors in a step by step manner as shown below.

**Step by Step Explanation:**

** Step 1:** Since 0.1875 has four digits to the right of the decimal point we shall have four zeroes in the denominator. So we can write,

0.1875 = 1875/10000.

** Step 2**: Cancel the common factor 5 in both the numerator and the denominator.

0.1875 = 375/2000.

** Step 3**: Once again 5 is a common factor on both the numerator and denominator which can be canceled on both the numerator and denominator.

0.1875 = 75/400.

** Step 4**: We continue canceling the common factors. Notice that 5 occurs as a common factor twice so we cancel five in this step and the next step.

0.1875 = 15/80.

** Step 5**: Dividing both the numerator and denominator by 5.

0.1875 = 3/16.

The final answer is, 0.1875 = 3/16.