Reviewed by Franz Jerby Delos Santos
What is 5/9 as a decimal?
Answer: 5/9 as a decimal is 0.555...
Fractions represent parts of a whole, and converting fractions into decimals helps compare or use them in calculations. To express 5/9 as a decimal, you need to divide the numerator by the denominator. This process sometimes results in a repeating decimal, which is the case for 5 divided by 9.
Methods
Math Tutor Explanation Using the Division Method
This method involves dividing the numerator (5) by the denominator (9) to get the decimal form.
Step 1: Step 1: Divide 5 by 9 using long division
Step 2: Step 2: Note that the result is a repeating decimal of 0.555...
Math Tutor Explanation Using Fraction to Decimal Conversion
Fractions can be converted to decimals directly by performing the division on a calculator or by hand.
Step 1: Step 1: Enter 5 divided by 9 in a calculator or perform the division by hand
Step 2: Step 2: Check the result which continues as 0.555...
Step 1:
Step 2:
Math Tutor suggests: Practice More Fraction to Decimal Conversions
Want to strengthen your skills in converting fractions to decimals? Check out these related exercises for more practice.
FAQ on Fraction to Decimal Conversion
Is 5/9 a repeating decimal?
Yes, 5/9 is a repeating decimal: 0.555...
How do I write repeating decimals?
You write 0. 7 with a bar over the 5, indicating that the 5 repeats infinitely.
Why don't all fractions turn into repeating decimals?
Fractions whose denominators have only 2 and 5 as prime factors become terminating decimals; others will repeat.
Can I use a calculator to convert fractions to decimals?
Yes, dividing the numerator by the denominator on a calculator gives the decimal form.
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