Reviewed by Jessica Kaminski
What is 0.8125 as a fraction?
Answer: 0.8125 as a fraction is 13/16
Converting a decimal to a fraction is a fundamental skill in math that helps bridge the gap between different numerical representations. Here, we'll explore how the decimal 0.8125 can be rewritten as a fraction in its simplest form. This process involves identifying the appropriate denominator and reducing the result if possible.
Methods
Math Tutor Explanation Using the Place Value Method
This method relies on interpreting the decimal's place value to form an initial fraction before simplifying.
Step 1: Step 1: Recognize that 0.8125 has four decimal places, so write it as 8125/10000
Step 2: Step 2: Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 625
Math Tutor Explanation Using the Division Method
Alternatively, you can express the decimal as a fraction by considering its equivalence and reducing if needed.
Step 1: Step 1: Write 0.8125 as 8125 divided by 10000 (8125/10000)
Step 2: Step 2: Divide numerator and denominator by 625, resulting in 13/16
Step 1:
Step 2:
Math Tutor suggests: Practice Decimal to Fraction Conversions
Want to get even better at turning decimals into fractions? Try these similar decimal-to-fraction exercises and boost your math skills.
FAQ on Decimal to Fraction Conversion
How do you know what denominator to use when converting a decimal to a fraction?
Count the decimal places and use a denominator equal to a power of 10 with the same number of zeros.
Can all decimals be written as fractions?
All terminating and repeating decimals can be written as fractions, but non-repeating, non-terminating decimals cannot.
How do you simplify a fraction after converting from a decimal?
Divide both numerator and denominator by their greatest common divisor.
Is 0.8125 a rational number?
Yes, because it can be written as the fraction 13/16.
What is the quickest way to convert a decimal to a fraction?
Write the decimal over a power of ten, then simplify the fraction.
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