Fractions · twelfths

What Is 12/12?

12/12 is twelve twelfths: all 12 parts, which makes exactly one whole.

The short answer

12/12 = 1. The bottom number says the whole is cut into 12 equal parts, and the top says you have all 12 of them. As a decimal that's 1, and as a percent it's 100%.

12/12 in pictures

Pie: 12 of 12 slices
Cake: 12 of 12 parts
Cookies: 12 of 12 on the tray
01/122/123/124/125/126/127/128/129/1210/1211/121
Number line: twelve twelfths

12/12 at a glance

In wordstwelve twelfths
As a decimal1
As a percent100%
Simplest form1 (one whole)
Equal fractions2/2, 3/3, 4/4, 5/5
Compared to one halfbigger than 1/2
Left to make a wholeNothing: it is the whole

Why 12/12 equals 1

Top and bottom are both 12, so divide both by 12: 12 ÷ 12 = 1 and 12 ÷ 12 = 1. That leaves 1/1, which is just 1.

Fractions equal to 12/12

Multiply the top and bottom by the same number and the amount doesn't change: 12 × 2 = 24 and 12 × 2 = 24, so 12/12 = 24/24. Times 3 gives 36/36. In the bakery, that's the same pie with every slice cut in two, then in three.

More fractions equal to 12/12: 2/2, 3/3, 4/4, 5/5, 6/6. The equivalent fractions lesson shows why this always works.

Is 12/12 bigger than one half?

12/12 is bigger than 1/2. 12/12 is a whole, so it's twice as much as one half.

12/12 in real life

12/12 of 12 strawberries on a tart

Share the 12 into 12 equal groups: 12 ÷ 12 = 1 in each group. Take 12 groups: 1 × 12 = 12.

12/12 of an hour

An hour has 60 minutes. 60 ÷ 12 = 5, and 5 × 12 = 60 minutes.

Cutting twelfths

Cut into quarters, then split each quarter into three. A clock face already shows twelfths: every hour mark is one twelfth of the way around.

Common mix-ups with 12/12

It's not bigger than 1

12/12 looks like a big fraction, but it's exactly one whole: all 12 parts of 12. Any fraction with the same top and bottom equals 1.

Play with 12/12

Saying a definition doesn't make it stick. Finding 12/12 on a pie, a cake and a number line, over and over, does.

The orders in this game keep coming back to 12/12

Free to play · no signup · works on phones, tablets and computers

Open the game full screen

Quick quiz

12/12 FAQ

What is 12/12 as a decimal?

12/12 = 1. Divide the top by the bottom: 12 ÷ 12 = 1.

What is 12/12 as a percent?

12/12 is 100%. Percent means "out of 100", so work out 12 ÷ 12 × 100.

What fractions are equal to 12/12?

2/2, 3/3, 4/4, 5/5, 6/6 and many more. Multiply the top and bottom by the same number to make another.

How do you read 12/12 out loud?

Say "twelve twelfths".

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