Reviewed by Janice S. Armas
Convert 0.15 into fraction
Answer: 0.15 as a fraction is 3/20
Converting decimals to fractions is a fundamental skill in mathematics, allowing us to express numbers in different forms. When you have a decimal such as 0.15, it can be turned into a fraction by understanding place value and simplifying when possible. This process helps reinforce the relationship between decimals and fractions.
Methods
Math Tutor Explanation Using the Place Value Method
This method involves writing the decimal as a fraction with a denominator that reflects the decimal's place value.
Step 1: Step 1: Recognize that 0.15 is in the hundredths place, so write it as 15/100
Step 2: Step 2: Simplify 15/100 by dividing both numerator and denominator by their greatest common factor, which is 5
Math Tutor Explanation Using the Equivalent Fractions Method
Alternatively, you can multiply both sides until the decimal is eliminated and simplify the resulting fraction.
Step 1: Step 1: Count how many digits are after the decimal (two for 0.15), so multiply numerator and denominator by 100 to get 15/100
Step 2: Step 2: Reduce the fraction 15/100 to its simplest form, which is 3/20
Step 1:
Step 2:
Math Tutor suggests: More Decimal to Fraction Conversions
Keep practicing how to convert decimals into fractions with these similar examples.
FAQ on Converting Decimals to Fractions
Why do we simplify fractions after converting from decimals?
We simplify to get the fraction in its simplest form, making it easier to understand and use.
What do you do if the decimal is repeating?
For repeating decimals, you use algebraic methods to express them as fractions.
Are all decimals convertible to fractions?
All terminating and repeating decimals can be written as fractions, but non-repeating, non-terminating decimals cannot.
How do you know if you’ve simplified a fraction enough?
A fraction is fully simplified when the only common factor between the numerator and denominator is 1.
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