Reviewed by Jessica Kaminski
How to Convert 0.8 Into Fraction?
Answer: 0.8 as a fraction is 4/5
Converting a decimal like 0.8 into a fraction is a useful skill in mathematics. It allows you to express numbers in different formats and understand the relationships between decimals and fractions. This process is straightforward and involves a few basic steps that help you clearly see how the decimal is represented as a part of a whole.
Methods
Math Tutor Explanation Using the Decimal Place Value Method
This method uses the place value of the decimal to write the fraction, then simplifies if necessary.
Step 1: Step 1: Write 0.8 as 8 over 10 since the 8 is in the tenths place
Step 2: Step 2: Simplify 8/10 by dividing both numerator and denominator by 2 to get 4/5
Math Tutor Explanation Using the Division Method
This method converts the decimal to a fraction using its equivalent division statement.
Step 1: Step 1: Recognize 0.8 as 8 divided by 10, which is written as 8/10
Step 2: Step 2: Reduce 8/10 by the greatest common divisor, which is 2, resulting in 4/5
Step 1:
Step 2:
Math Tutor suggests: More Decimal to Fraction Practice
Keep building your skills with these exercises that help you convert decimals into fractions.
FAQ on Converting Decimals to Fractions
Can all decimals be converted to fractions?
All terminating and repeating decimals can be converted to fractions, but non-repeating, non-terminating decimals cannot.
Is 0.8 a terminating or repeating decimal?
0.8 is a terminating decimal because it ends after one decimal place.
How do I simplify fractions after converting?
Divide the numerator and denominator by their greatest common divisor.
What if my decimal has more than one decimal place?
Write it over a power of 10 (100, 1000, etc.) that matches the number of decimal places and then reduce.
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