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.
