What is 2/3 as a Decimal?

Converting 2/3 to a decimal requires dividing the numerator (2) by the denominator (3). Here's the step-by-step process:

Step 1: Set Up the Division

We need to divide 2 by 3: 2 / 3

Step 2: Perform Long Division

Result

2/3 = 0.666... (the digit 6 repeats infinitely)

This can also be written as: 0.6 (with a bar over the 6)

A fraction produces a repeating decimal when its denominator (in simplest form) has prime factors other than 2 or 5.

Since 3 is a prime number and is not 2 or 5, the fraction 2/3 produces a repeating decimal.

Examples of Terminating vs Repeating Decimals

Terminating (denom. has only 2, 5)	Repeating (denom. has other primes)
1/2 = 0.5	1/3 = 0.333...
1/4 = 0.25	2/3 = 0.666...
1/5 = 0.2	1/6 = 0.1666...
1/8 = 0.125	1/7 = 0.142857142857...

Understanding that 2/3 = 0.666... is useful in many real-world situations:

Percentages

2/3 = 0.666... = 66.67% (rounded)

So two-thirds of something is approximately 66.67% of it.

Time

2/3 of an hour = 40 minutes

2/3 of a day = 16 hours

Measurements

2/3 of a cup = approximately 0.67 cups or 5.33 fluid ounces

2/3 of a meter = approximately 0.67 meters or 67 centimeters

Examples

• If a pizza has 3 slices and you eat 2, you've eaten 2/3 or about 66.7% of the pizza
• If a class has 30 students and 2/3 passed, that's 20 students who passed
• If you save 2/3 of your $300 budget, you save $200

Fraction	Decimal	Percentage
1/3	0.333...	33.33%
2/3	0.666...	66.67%
1/6	0.1666...	16.67%
5/6	0.8333...	83.33%
3/4	0.75	75%
1/2	0.5	50%