Reviewed by Laila A. Lico
What is 0.4 as a Fraction?
Answer: 0.4 as a fraction is 2/5
Converting decimals to fractions helps us better understand the relationship between numbers. The decimal 0.4 represents a part of a whole, and expressing it as a fraction provides an exact value that is commonly used in mathematics. This process allows us to see how decimals and fractions are interconnected.
Methods
Math Tutor Explanation Using the Place Value Method
This method involves interpreting the decimal based on its place value, then simplifying the resulting fraction.
Step 1: Step 1: Recognize that 0.4 means 4 tenths, or 4/10
Step 2: Step 2: Simplify the fraction 4/10 by dividing the numerator and denominator by their greatest common factor, which is 2
Math Tutor Explanation Using the Decimal to Fraction Conversion Method
This approach systematically transforms a decimal number to a fraction by following conversion steps.
Step 1: Step 1: Write 0.4 as 4 divided by 10, or 4/10
Step 2: Step 2: Reduce 4/10 by dividing both parts by 2, yielding 2/5
Step 1:
Step 2:
Math Tutor suggests: Practice More Decimal to Fraction Conversions
Explore these related exercises to strengthen your understanding of converting decimals into fractions.
FAQ on Decimals and Fractions
Is 0.4 a terminating decimal?
Yes, 0.4 is a terminating decimal because it ends after one decimal place.
Can 0.4 be simplified further as a fraction?
No, once 0.4 is converted to 2/5, it is in its simplest form.
How do you convert a decimal to a fraction?
Write the decimal as a fraction with 1 as the denominator and raise the denominator to a power of 10 according to decimal places, then simplify.
What does it mean for a fraction to be in simplest form?
A fraction is in simplest form when the numerator and denominator have no common factors other than 1.
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