Reviewed by Janice S. Armas
What is 8.5 as a Fraction?
Answer: 8.5 as a fraction is 17/2
Converting a decimal like 8.5 into a fraction makes it easier to understand or use the number in mathematical problems, especially in algebra or when comparing values. Fractions represent numbers as the ratio of two integers, which can be particularly helpful in certain math contexts.
Methods
Math Tutor Explanation Using the Place Value Method
This method considers the place value of the decimal digits to write it as a fraction and then simplifies if possible.
Step 1: Step 1: Recognize that 8.5 means 8 and five-tenths, or 8 5/10
Step 2: Step 2: Convert the mixed number 8 5/10 into an improper fraction: (8 × 10 + 5) / 10 = 85/10
Math Tutor Explanation Using Fraction from Decimal Expansion
By expressing 8.5 as a sum of whole number and decimal, you convert the decimal part directly and then add it.
Step 1: Step 1: Write 8.5 as 8 + 0.5
Step 2: Step 2: Express 0.5 as 1/2, so it's 8 + 1/2
Step 1:
Step 2:
Math Tutor suggests: Practice More Decimal to Fraction Conversions
Deepen your understanding by exploring these exercises on converting decimals and mixed numbers to fractions.
FAQ on Decimal to Fraction Conversion
Why do we convert decimals to fractions?
Converting decimals to fractions can make numbers easier to work with in operations like addition, subtraction, multiplication, and division.
How do I know when to simplify a fraction?
Always simplify fractions if both the numerator and denominator can be divided by the same number, making the fraction as simple as possible.
Can all decimals be written as fractions?
All terminating and repeating decimals can be written as fractions; non-repeating, non-terminating decimals cannot.
What is the simplest form of 8.5 as a fraction?
The simplest form is 17/2.
How do you convert a decimal to an improper fraction?
Multiply the decimal by a power of 10 to make it a whole number, then place it over that power of 10 and simplify.
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