Reviewed by Maila Caliao
What is 5/8 as a decimal?
Answer: 5/8 as a decimal is 0.625
Converting fractions to decimals is a fundamental math skill that helps compare values and perform calculations more easily. The fraction 5/8 can be expressed as a decimal by dividing the numerator (5) by the denominator (8), resulting in a value that is useful for real-world applications and further math operations.
Methods
Math Tutor Explanation Using the Division Method
The division method involves dividing the numerator by the denominator using long division or a calculator.
Step 1: Step 1: Divide 5 by 8
Step 2: Step 2: Calculate to get 0.625
Math Tutor Explanation Using Equivalent Fractions with a Power of 10 Denominator
This method converts the fraction to an equivalent fraction with a denominator of 1000, making it easier to write as a decimal.
Step 1: Step 1: Multiply numerator and denominator by 125 to get 625/1000
Step 2: Step 2: Write 625 divided by 1000 as 0.625
Step 1:
Step 2:
Math Tutor suggests: Practice Fraction to Decimal Conversions
Keep improving your skills in converting fractions to decimals with these similar math problems.
FAQ on Fraction to Decimal Conversion
Why do you divide the numerator by the denominator to get a decimal?
Dividing the numerator by the denominator shows what one part of the whole is worth as a decimal.
Can every fraction be written as a decimal?
Yes, but some fractions become repeating or terminating decimals.
What if the decimal repeats when dividing?
If the division repeats, write the repeating part with a bar or dots to show it's recurring, or round as needed.
Is 0.625 a terminating or repeating decimal?
0.625 is a terminating decimal because it ends after three digits.
How do you convert a decimal back to a fraction?
Write the decimal as a fraction with the appropriate denominator (like 1000 for three decimal places) and simplify.
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