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 = \frac{1875}{10000}
Step 2: Cancel the common factor 5 in both the numerator and the denominator. \frac{\cancel{1875}}{\cancel{10000}} = \frac{375}{2000}
Step 3: Once again 5 is a common factor on both the numerator and denominator which can be cancelled on both the numerator and denominator. \frac{\cancel{375}}{\cancel{2000}} = \frac{75}{400}
Step 4: We continue cancelling the common factors. Notice that 5 occurs as common factor twice so we cancel five in this step and the next step. \frac{\cancel{75}}{\cancel{400}} = \frac{15}{80}
Step 5: Dividing both numerator and denominator by 5. \frac{\cancel{15}}{\cancel{80}} = \frac{3}{16}
The final answer is, 0.1875 = \frac{3}{16}.
