Reviewed by Janice S. Armas
What is 0.2 as a Fraction?
Answer: 0.2 as a fraction is 1/5
Converting a decimal like 0.2 to a fraction is a common task in math that helps bridge the understanding between decimals and rational numbers. Fractions and decimals are just different ways of expressing the same value, and knowing how to switch between the two is valuable in arithmetic and everyday calculations.
Methods
Math Tutor Explanation Using Place Value Method
This method involves recognizing which place value the decimal occupies and then expressing the number as a fraction based on that place value.
Step 1: Step 1: Notice that 0.2 is in the tenths place since it is one digit after the decimal point
Step 2: Step 2: Write 0.2 as 2/10 because 'two tenths' means 2 out of 10
Math Tutor Explanation Using Division Method
You can also find the fraction by expressing the decimal as a division and then simplifying.
Step 1: Step 1: Write 0.2 as 2 divided by 10, or 2/10
Step 2: Step 2: Simplify 2/10 by dividing both parts by their greatest common factor (2), giving you 1/5
Step 1:
Step 2:
Math Tutor suggests: More Decimal to Fraction Practice
Continue strengthening your skills in converting decimals to fractions with these related questions.
FAQ on Converting Decimals to Fractions
Why do we simplify fractions after converting from decimals?
Simplifying fractions makes them easier to understand and use, expressing the value in its lowest terms.
How do you know which place value to use for a decimal?
Count the number of digits after the decimal: one digit is tenths, two digits is hundredths, and so on.
Can all decimals be written as fractions?
All terminating and repeating decimals can be written as fractions, but some non-repeating, non-terminating decimals cannot.
How do you check if your fraction is fully simplified?
If the numerator and denominator have no common divisors other than 1, the fraction is fully simplified.
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