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What is 3/12 - 11/12?

What is 3/12 - 11/12?

Here's how to subtract 11/12 from 3/12:

3
12
11
12

Step 1

Since our denominators match, we can subtract the numerators.

3 − 11 = -8

So the answer is:

-8
12

Step 2

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

-8
12
÷ 2 =
-4
6

Let's try dividing by 2 again...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

-4
6
÷ 2 =
-2
3

Let's try dividing by 2 again...

Nope! So now we try the next greatest prime number, 3...

No good. 3 is larger than -2. So we're done reducing.

There you have it! The final answer is:
3
12
11
12
=
2
3

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11/12 - 7/12
11/12 + 8/12
11/12 - 8/12
11/12 + 9/12
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11/12 + 10/12
11/12 - 10/12
11/12 + 11/12
11/12 - 11/12