What is 3/16 in decimal form?

Understand the Problem

The question is asking to convert the fraction 3/16 into its decimal form, which involves dividing the numerator by the denominator.

Answer

$ 0.1875 $
Answer for screen readers

The decimal form of the fraction $ \frac{3}{16} $ is $ 0.1875 $.

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 $.

The decimal form of the fraction $ \frac{3}{16} $ is $ 0.1875 $.

More Information

When converting fractions to decimals, it's common to continue finding decimal places until the division is complete or you reach a repeating decimal. In this case, $ 0.1875 $ is a terminating decimal.

Tips

  • A common mistake is to forget to bring down additional zeros, which can lead to incorrect decimal places.
  • Some may also misunderstand how to divide when the numerator is smaller than the denominator—remember, you can always add decimal zeros.

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