Fractions · thirds
What Is 2/3?
2/3 is two thirds: 2 parts out of 3 equal parts.
2/3 means 2 out of 3 equal parts. The bottom number (3) says how many equal parts make the whole. The top number (2) says how many you have. As a decimal it's 0.666… (the 6 repeats forever), and as a percent it's about 66.7%.
2/3 in pictures
2/3 at a glance
| In words | two thirds |
| As a decimal | 0.666… (the 6 repeats forever) |
| As a percent | about 66.7% |
| Simplest form | 2/3 is already in simplest form |
| Equal fractions | 4/6, 6/9, 8/12, 10/15 |
| Compared to one half | bigger than 1/2 |
| Left to make a whole | 1/3 |
Is 2/3 in simplest form?
No number bigger than 1 divides both 2 and 3, so 2/3 can't be simplified. It's as simple as it gets.
Fractions equal to 2/3
Multiply the top and bottom by the same number and the amount doesn't change: 2 × 2 = 4 and 3 × 2 = 6, so 2/3 = 4/6. Times 3 gives 6/9. In the bakery, that's the same pie with every slice cut in two, then in three.
More fractions equal to 2/3: 4/6, 6/9, 8/12, 10/15, 12/18. The equivalent fractions lesson shows why this always works.
Is 2/3 bigger than one half?
2/3 is bigger than 1/2. Double the top: 2 × 2 = 4. That's more than the bottom number, 3, so it's over half. Next to its neighbors: 1/3 < 2/3 < 3/3.
2/3 in real life
Share the 18 into 3 equal groups: 18 ÷ 3 = 6 in each group. Take 2 groups: 6 × 2 = 12.
An hour has 60 minutes. 60 ÷ 3 = 20, and 20 × 2 = 40 minutes.
Thirds are the awkward cut. Make three cuts from the center, spaced evenly like a Y. Halving won't get you there, because 3 is odd.
Common mix-ups with 2/3
Swapping the numbers changes everything. 2/3 is less than one whole; 3/2 is more than one whole. The bottom number always says how many equal parts make up the whole.
A pie with 2 filled and 1 empty is not 2/1. That compares the filled part to the empty part. The bottom number counts all 3 parts, filled or not.
Play with 2/3
Saying a definition doesn't make it stick. Finding 2/3 on a pie, a cake and a number line, over and over, does.
The orders in this game keep coming back to 2/3
Free to play · no signup · works on phones, tablets and computers
2/3 FAQ
What is 2/3 as a decimal?
2/3 = 0.666… Divide the top by the bottom: 2 ÷ 3. The digit 6 repeats forever, so it never ends.
What is 2/3 as a percent?
2/3 is about 66.7%. Percent means "out of 100", so work out 2 ÷ 3 × 100.
What fractions are equal to 2/3?
4/6, 6/9, 8/12, 10/15, 12/18 and many more. Multiply the top and bottom by the same number to make another.
How do you read 2/3 out loud?
Say "two thirds".
Is the fraction game really free?
Yes. The whole game plays free in your browser, with no signup, no ads and no time limit. A Fraction Bakery app for iPhone is coming later, but the web game stays free.
Take the bakery with you, soon
A Fraction Bakery app for iPhone is on the way. The plan: offline play for the car, a parent report of which fractions have stuck, and the full bakery shelf of prizes. Until then, the whole game is free right here.
Coming soon on theApp Store