Reviewed by Florence Khitsane
What is .16 as a Fraction?
Answer: .16 as a fraction is 4/25
.16 is a decimal number commonly encountered in mathematics. Converting decimals to fractions helps enhance understanding of numerical relationships and makes it easier to apply fractions in calculations, measurements, and comparisons.
Methods
Math Tutor Explanation Using the Place Value Method
This method uses the place value of each decimal digit to convert the decimal into a fraction.
Step 1: Step 1: Recognize that .16 means sixteen hundredths, or 16/100
Step 2: Step 2: Simplify the fraction 16/100 by dividing both numerator and denominator by their greatest common divisor (GCD), which is 4
Math Tutor Explanation Using the Proportion Method
Alternatively, .16 can be written as a fraction by considering proportions.
Step 1: Step 1: Write the decimal .16 as 16/100
Step 2: Step 2: Reduce 16/100 by dividing top and bottom by 4
Step 1:
Step 2:
Math Tutor suggests: Master Decimal to Fraction Conversions
Strengthen your skills in converting decimals to fractions with these related practice questions.
FAQ on Decimal to Fraction Conversion
Why do we simplify fractions after converting from decimals?
Simplifying gives you the fraction in its lowest terms, making it easier to understand and use.
Can all decimals be converted into fractions?
Yes, all terminating and repeating decimals can be converted into fractions.
Is .16 a terminating or repeating decimal?
.16 is a terminating decimal because it ends after two decimal places.
What is the greatest common divisor (GCD) of 16 and 100?
The GCD of 16 and 100 is 4.
What is 4/25 as a decimal?
4 divided by 25 is equal to 0.16.
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