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

  1. Set up the division problem

To convert the fraction $\frac{2}{3}$ into a decimal, set up the division of 2 by 3.

  1. 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...

  1. 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.

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