Reviewed by Jessica Kaminski
What is 8/9 as a decimal?
Answer: 8/9 as a decimal is 0.888...
The fraction 8/9 can be easily converted into a decimal by dividing the numerator (8) by the denominator (9). This process reveals the decimal representation, which often helps when comparing or working with non-whole numbers in calculations.
Methods
Math Tutor Explanation Using the Division Method
You can convert 8/9 into a decimal by dividing 8 by 9 using long division or a calculator.
Step 1: Step 1: Divide 8 by 9 using a calculator or long division
Step 2: Step 2: Notice that the result is a repeating decimal of 0.888...
Math Tutor Explanation Using Equivalent Fractions Method
You can express the fraction over a denominator of 10, 100, or 1000 to approximate the decimal value.
Step 1: Step 1: Multiply both the numerator and denominator by a number to get close to a denominator of 10, 100, or 1000
Step 2: Step 2: 8/9 × 111.111... ≈ 888.888.../999.999..., which reduces to 0.888... as a decimal
Step 1:
Step 2:
Math Tutor suggests: Practice More Fraction to Decimal Conversions
Continue mastering fraction to decimal conversions with these similar exercises.
FAQ on Converting Fractions to Decimals
Is 8/9 a repeating decimal?
Yes, 8/9 as a decimal repeats as 0.888...
How do you know if a fraction will have a repeating decimal?
If the denominator contains prime factors other than 2 or 5, the decimal will repeat.
Can you round 0.888... to a specific decimal place?
Yes, for example, 0.89 rounded to two decimal places.
Why does 8/9 not terminate as a decimal?
Because dividing by 9 creates a digit pattern that continues infinitely.
How is 8/9 written as a percent?
8/9 as a percent is approximately 88.89%.
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