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What is 12/1 - 10/12?

What is 12/1 - 10/12?

Here's how to subtract 10/12 from 12/1:

12
1
10
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 12 by 12, and get 144.

Then we multiply 10 by 1, and get 10.

Next we give both terms new denominators -- 1 × 12 = 12.

So now our fractions look like this:

144
12
10
12

Step 2

Since our denominators match, we can subtract the numerators.

144 − 10 = 134

So the answer is:

134
12

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:

134
12
÷ 2 =
67
6

Let's try dividing by 2 again...

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

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

No good. 7 is larger than 6. So we're done reducing.

There you have it! The final answer is:
12
1
10
12
=
67
6

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