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What is 4/6 - 11/12?

What is 4/6 - 11/12?

Here's how to subtract 11/12 from 4/6:

4
6
11
12

Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 4 by 12, and get 48.

Then we multiply 11 by 6, and get 66.

Next we give both terms new denominators -- 6 × 12 = 72.

So now our fractions look like this:

48
72
66
72

Step 2

Since our denominators match, we can subtract the numerators.

48 − 66 = -18

So the answer is:

-18
72

Step 3

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:

-18
72
÷ 2 =
-9
36

Let's try dividing by 2 again...

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

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

-9
36
÷ 3 =
-3
12

Let's try dividing by 3 again...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

-3
12
÷ 3 =
-1
4

Let's try dividing by 3 again...

No good. 3 is larger than -1. So we're done reducing.

There you have it! The final answer is:
4
6
11
12
=
1
4

11/12 + 1/2
11/12 - 1/2
11/12 + 1/3
11/12 - 1/3
11/12 + 2/3
11/12 - 2/3
11/12 + 1/4
11/12 - 1/4
11/12 + 2/4
11/12 - 2/4
11/12 + 3/4
11/12 - 3/4
11/12 + 1/5
11/12 - 1/5
11/12 + 2/5
11/12 - 2/5
11/12 + 3/5
11/12 - 3/5
11/12 + 4/5
11/12 - 4/5
11/12 + 1/6
11/12 - 1/6
11/12 + 2/6
11/12 - 2/6
11/12 + 3/6
11/12 - 3/6
11/12 + 4/6
11/12 - 4/6
11/12 + 5/6
11/12 - 5/6
11/12 + 1/7
11/12 - 1/7
11/12 + 2/7
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11/12 + 3/7
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11/12 + 2/8
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11/12 + 3/8
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11/12 + 4/8
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11/12 + 5/8
11/12 - 5/8
11/12 + 6/8
11/12 - 6/8
11/12 + 7/8
11/12 - 7/8
11/12 + 1/9
11/12 - 1/9
11/12 + 2/9
11/12 - 2/9
11/12 + 3/9
11/12 - 3/9
11/12 + 4/9
11/12 - 4/9
11/12 + 5/9
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11/12 + 6/9
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11/12 - 3/10
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11/12 - 4/10
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11/12 - 5/10
11/12 + 6/10
11/12 - 6/10
11/12 + 7/10
11/12 - 7/10
11/12 + 8/10
11/12 - 8/10
11/12 + 9/10
11/12 - 9/10
11/12 + 1/11
11/12 - 1/11
11/12 + 2/11
11/12 - 2/11
11/12 + 3/11
11/12 - 3/11
11/12 + 4/11
11/12 - 4/11
11/12 + 5/11
11/12 - 5/11
11/12 + 6/11
11/12 - 6/11
11/12 + 7/11
11/12 - 7/11
11/12 + 8/11
11/12 - 8/11
11/12 + 9/11
11/12 - 9/11
11/12 + 10/11
11/12 - 10/11
11/12 + 1/12
11/12 - 1/12
11/12 + 2/12
11/12 - 2/12
11/12 + 3/12
11/12 - 3/12
11/12 + 4/12
11/12 - 4/12
11/12 + 5/12
11/12 - 5/12
11/12 + 6/12
11/12 - 6/12
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11/12 - 7/12
11/12 + 8/12
11/12 - 8/12
11/12 + 9/12
11/12 - 9/12
11/12 + 10/12
11/12 - 10/12
11/12 + 11/12
11/12 - 11/12