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What is 11/12 - 10/11?

What is 11/12 - 10/11?

Here's how to subtract 10/11 from 11/12:

11
12
10
11

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 11 by 11, and get 121.

Then we multiply 10 by 12, and get 120.

Next we give both terms new denominators -- 12 × 11 = 132.

So now our fractions look like this:

121
132
120
132

Step 2

Since our denominators match, we can subtract the numerators.

121 − 120 = 1

So the answer is:

1
132

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...

No good. 2 is larger than 1. So we're done reducing.

There you have it! The final answer is:
11
12
10
11
=
1
132

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