Reviewed by Laila A. Lico
What is 1/16 as a Decimal?
Answer: 1/16 as a decimal is 0.0625
The process of converting a fraction to a decimal is a key skill in mathematics. Fractions and decimals are two ways to represent parts of a whole, and being able to switch between the two formats helps in many math and real-life tasks. Here, we’ll find the decimal form of the fraction 1/16.
Methods
Math Tutor Explanation Using the Division Method
The division method is the primary way to convert a fraction to a decimal by dividing the numerator by the denominator.
Step 1: Step 1: Divide 1 by 16 using long division
Step 2: Step 2: The quotient you obtain is the decimal equivalent
Math Tutor Explanation Using the Equivalent Fraction to Base 10 Method
If possible, convert the fraction so the denominator is a power of 10, then write out its decimal form.
Step 1: Step 1: Notice that 16 × 625 = 10,000, so multiply numerator and denominator by 625
Step 2: Step 2: 1 × 625 = 625, and 16 × 625 = 10,000, so you get 625/10,000 which equals 0.0625
Step 1:
Step 2:
Math Tutor suggests: More Fraction to Decimal Practice
Keep practicing your fraction-to-decimal conversions with these similar problems. Strengthen your skills and build confidence with more examples!
FAQ on Converting Fractions to Decimals
Why is it important to convert fractions to decimals?
Decimals are often easier to interpret and compare, especially in measurements and financial calculations.
Can all fractions be converted to a terminating decimal?
No, only fractions with denominators that factor into 2s, 5s, or both result in terminating decimals; others repeat.
What if my division does not result in a repeating or terminating decimal?
Use rounding or express your answer with a few decimal places as needed.
How does the size of the denominator affect the decimal?
Larger denominators usually produce smaller decimal values for the same numerator.