
Reviewed by Yaren Fadiloglulari
What is 2/3 in decimal form?
Answer: 2/3 in decimal form is 0.666...
Converting a fraction like 2/3 to decimal form helps make numbers easier to compare and use in calculations. The decimal representation shows exactly how much 2 divided by 3 is, which is especially helpful when working with measurements or real-world problems.
Methods
Math Tutor Explanation Using the Long Division Method
This method involves dividing the numerator (2) by the denominator (3). The division process will show that the decimal repeats indefinitely.
Step 1: Step 1: Divide 2 by 3 (2 ÷ 3)
Step 2: Step 2: Notice that 3 does not go into 2, so place a decimal point and add a zero making it 20
Math Tutor Explanation Using a Calculator
You can also convert a fraction to decimal using a calculator, which gives a quick result.
Step 1: Step 1: Enter 2 divided by 3 (2 ÷ 3) on your calculator
Step 2: Step 2: The display will show 0.666... or 0.667 if rounded
Step 1:
Step 2:
Math Tutor suggests: More Fraction to Decimal Practice
Build your skills in converting fractions to decimals with these related questions.
FAQ on Fractions and Decimals
Is 2/3 a repeating or terminating decimal?
2/3 is a repeating decimal, represented as 0.666…
How do you write 2/3 as a rounded decimal?
Rounded to two decimal places, 2/3 is 0.67
Why does 2/3 not terminate?
Because 3 cannot evenly divide into any power of 10, resulting in a repeating decimal
Can 2/3 be expressed exactly as a decimal?
No, its decimal form repeats forever; it can only be approximated