12 −1
8

Step 1

We can"t subtract 2 fractions with various denominators. So you need to gain a common denominator. To perform this, you"ll multiply the denominators times each other... However the numerators have to change, too. They get multiplied by the other term"s denominator.

You are watching: 1/2 minus 1/8

So we multiply 1 through 8, and also get 8.

Then we multiply 1 by 2, and get 2.

Next we offer both terms brand-new denominators -- 2 × 8 = 16.

So now our fractions look favor this:

8
16
−2
16

Step 2

Since our denominators match, we deserve to subtract the numerators.

8 − 2 = 6

So the prize is:

6
16

Step 3

Last that all, we need to simplify the fraction, if possible. Deserve to it be decreased to a simpler fraction?

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

Are both the numerator and also the denominator evenly divisible by 2? Yes! for this reason we mitigate it:

6
16
÷ 2 =3
8

Let"s shot dividing by 2 again...

Nope! So currently we shot the next best prime number, 3...

Nope! So currently we try the next biggest prime number, 5...

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No good. 5 is larger than 3. So we"re done reducing.

There you have actually it! The final answer is:
1
2
−1
8
=3
8

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