Reviewed by Maila Caliao
How do you convert 0.2 into fraction?
Answer: 0.2 as a fraction is 1/5
Converting a decimal like 0.2 into a fraction involves understanding the place value of each digit after the decimal point. This process helps represent the same value in a different mathematical form, making it easier to work with in fraction-based operations.
Methods
Math Tutor Explanation Using Place Value Method
By analyzing the position of the digit after the decimal, we can express the decimal as a fraction and then simplify if needed.
Step 1: Step 1: Recognize that the digit 2 is in the tenths place, so 0.2 equals 2/10
Step 2: Step 2: Simplify the fraction 2/10 by dividing both numerator and denominator by their greatest common divisor, which is 2
Math Tutor Explanation Using Proportion Method
You can write the decimal over 1 and multiply both the numerator and the denominator by 10 to remove the decimal point, then simplify.
Step 1: Step 1: Write 0.2 as 0.2/1
Step 2: Step 2: Multiply both numerator and denominator by 10 to get 2/10
Step 1:
Step 2:
Math Tutor suggests: Practice Converting Decimals to Fractions
If you're learning how to turn decimals into fractions, try out these related exercises for more practice.
FAQ on Decimals to Fractions
What is 0.2 as a fraction in simplest form?
1/5
How do you convert a repeating decimal to a fraction?
Set the decimal equal to a variable, use algebra to solve for the variable, then simplify.
Why do we multiply by 10 when converting decimals like 0.2?
To shift the decimal point and make the numerator a whole number.
Can all decimals be written as fractions?
All terminating and repeating decimals can be written as fractions, non-repeating, non-terminating decimals cannot.
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