What is 2/3 in decimal form?
Understand the Problem
The question is asking for the decimal equivalent of the fraction 2/3. To address this, we will need to perform a division of 2 by 3.
Answer
$0.666\dots$
Answer for screen readers
The decimal form of $\frac{2}{3}$ is 0.666...
Steps to Solve
- Set up the division problem
To convert the fraction $\frac{2}{3}$ into a decimal, set up the division of 2 by 3.
- Perform the division
Divide 2 by 3. Since 2 is less than 3, place a decimal point and add zeros after the 2: 2.000...
- Continue dividing
Perform the long division:
$$ 2.000 , \div , 3 = 0.666... $$
The division shows that the decimal repeats every 6.
The decimal form of $\frac{2}{3}$ is 0.666...
More Information
The decimal representation of the fraction $\frac{2}{3}$ is a repeating decimal. The repeating digit is 6.
Tips
A common mistake is stopping the division too soon and missing that the 6 repeats indefinitely. Be sure to identify that the decimal repeats.
