Reviewed by Jo-ann Caballes
What is 5/3 as a decimal?
Answer: 5/3 as a decimal is 1.666...
Fractions like 5/3 can be converted into decimals by dividing the numerator by the denominator. This conversion helps to understand fractions in a different form, often useful for calculations, measurements, or comparisons. For improper fractions (where the numerator is greater than the denominator), the resulting decimal will be greater than 1 and may be repeating.
Methods
Math Tutor Explanation Using the Long Division Method
This method involves dividing the numerator (5) by the denominator (3) using long division.
Step 1: Step 1: Divide 5 by 3 to get 1 with a remainder
Step 2: Step 2: Add a decimal point and zeros to continue dividing the remainder by 3
Math Tutor Explanation Using a Calculator
A calculator can quickly convert fractions to decimals by dividing the two numbers.
Step 1: Step 1: Enter 5 divided by 3 into the calculator
Step 2: Step 2: The calculator shows 1.666... (where the 6 repeats)
Step 1:
Step 2:
Math Tutor suggests: More Practice Converting Fractions to Decimals
Strengthen your understanding of converting fractions to decimals with these similar exercises.
FAQ on Converting Fractions to Decimals
Do all fractions have terminating decimal forms?
No, only fractions where the denominator has factors of 2 or 5 will terminate; others repeat.
What does it mean if a decimal repeats?
A repeating decimal means the digits after the decimal point go on forever in a pattern.
Is 1.666... equal to 1 2/3?
Yes, 1.666... is the decimal form of the mixed number 1 2/3.
How do I write a repeating decimal using notation?
You can put a bar over the repeating digit, like 1. 6 6..., or write it as 1. 6̅.
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