What is 0.8 As a Fraction?

Answer: 0.8 as a fraction is 4/5

The decimal 0.8 can be represented as a fraction, which makes it easier to understand in terms of parts of a whole. Converting a decimal to a fraction involves expressing the number as a ratio of two integers. This is useful for many math applications, especially when working with proportions, ratios, or calculations that involve combining different values.

Methods

Math Tutor Explanation Using the Place Value Method

This method involves recognizing the place value of the decimal and writing an equivalent fraction, then simplifying if necessary.

Step 1: Step 1: Recognize that 0.8 means eight tenths, so write it as 8/10

Step 2: Step 2: Simplify the fraction 8/10 by dividing both numerator and denominator by their greatest common divisor, which is 2

Math Tutor Explanation Using the Equation Method

Convert the decimal to a fraction using a simple algebraic equation, then solve for the fraction.

Step 1: Step 1: Let x = 0.8

Step 2: Step 2: Write x as a fraction: x = 8/10

Step 1:

Step 2:

Math Tutor suggests: More Decimal to Fraction Conversions

Want more practice turning decimals into fractions? Check out these related questions to deepen your understanding.

FAQ on Decimal to Fraction Conversion

Why do we convert decimals to fractions?

Converting decimals to fractions helps us understand the value in terms of parts of a whole and is useful in many mathematical problems.

Can all decimals be written as fractions?

All terminating and repeating decimals can be written as fractions; however, non-repeating, non-terminating decimals cannot.

How do I simplify a fraction?

To simplify a fraction, divide the numerator and denominator by their greatest common divisor.

Is 4/5 an irreducible fraction?

Yes, 4/5 is already in its simplest form because 4 and 5 have no common factors other than 1.

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