What is 3/16 in decimal form?

Steps to Solve

1. Setting up the division
   To convert the fraction $ \frac{3}{16} $ into decimal form, we need to divide the numerator (3) by the denominator (16).

2. Performing the division
   We can set it up as $ 3 \div 16 $. Since 3 is less than 16, we will start with 3.0 (i.e., 30 tenths) to perform the division.

3. Calculating the first decimal place
   Calculating $ 30 \div 16 $ gives us 1 (since 16 fits into 30 once).

   • We have a remainder of $ 30 - 16 = 14 $(so now we're looking at 14 tenths).

4. Continuing to the next decimal place
   Next, we take the remainder 14, bringing down another 0 to get $ 140 $.

   • Now perform $ 140 \div 16 $, which goes 8 times (since $ 16 \times 8 = 128 $).
   • The new remainder is $ 140 - 128 = 12 $.

5. Finding further decimal places
   We then bring down another 0, resulting in $ 120 $.

   • Now calculate $ 120 \div 16 $, which gives 7 (since $ 16 \times 7 = 112 $).
   • This time the remainder is $ 120 - 112 = 8 $.

6. Continuing the process
   Bring down another 0 to work with $ 80 $.

   • Calculate $ 80 \div 16 $, which fits exactly 5 times (since $ 16 \times 5 = 80 $).
   • This leaves us with a remainder of 0.

7. Writing the final result
   Combining our results, we find that $ \frac{3}{16} $ equals $ 0.1875 $.