612 −1
6

Step 1

We can not subtract two fractions with different denominators. So you should acquire a common denominator. To perform this, you"ll multiply the denominators times each various other... however the numerators have to change, also. They obtain multiplied by the other term"s denominator.

You are watching: 1/6 of 12

So we multiply 6 by 6, and acquire 36.

Then we multiply 1 by 12, and also acquire 12.

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

So now our fractions look like this:

36
72
−12
72

Step 2

Since our denominators match, we can subtract the numerators.

36 − 12 = 24

So the answer is:

24
72

Tip 3

Last of all, we have to simplify the fraction, if feasible. Can it be reduced to a less complicated fraction?

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

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

24
72
÷ 2 =12
36

Let"s attempt splitting by 2 aget...

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

12
36
÷ 2 =6
18

Let"s attempt splitting by 2 aacquire...

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

6
18
÷ 2 =3
9

Let"s try separating by 2 aget...

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

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

3
9
÷ 3 =1
3

Let"s try separating by 3 again...

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

There you have actually it! The final answer is:
6
12
−1
6
=1
3

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