What Is 2/3 - 1/2? - MathHelper

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math help What is 2/3 - 1/2? What is 2/3 - 1/2?

Here's how to subtract 1/2 from 2/3:

2
3
 −
1
2

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 2 by 2, and get 4.

Then we multiply 1 by 3, and get 3.

Next we give both terms new denominators -- 3 × 2 = 6.

So now our fractions look like this:

4
6
 −
3
6

Step 2

Since our denominators match, we can subtract the numerators.

4 − 3 = 1

So the answer is:

1
6

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:
2
3
 −
1
2
 =
1
6
1/2 + 1/21/2 - 1/21/2 + 1/31/2 - 1/31/2 + 2/31/2 - 2/31/2 + 1/41/2 - 1/41/2 + 2/41/2 - 2/41/2 + 3/41/2 - 3/41/2 + 1/51/2 - 1/51/2 + 2/51/2 - 2/51/2 + 3/51/2 - 3/51/2 + 4/51/2 - 4/51/2 + 1/61/2 - 1/61/2 + 2/61/2 - 2/61/2 + 3/61/2 - 3/61/2 + 4/61/2 - 4/61/2 + 5/61/2 - 5/61/2 + 1/71/2 - 1/71/2 + 2/71/2 - 2/71/2 + 3/71/2 - 3/71/2 + 4/71/2 - 4/71/2 + 5/71/2 - 5/71/2 + 6/71/2 - 6/71/2 + 1/81/2 - 1/81/2 + 2/81/2 - 2/81/2 + 3/81/2 - 3/81/2 + 4/81/2 - 4/81/2 + 5/81/2 - 5/81/2 + 6/81/2 - 6/81/2 + 7/81/2 - 7/81/2 + 1/91/2 - 1/91/2 + 2/91/2 - 2/91/2 + 3/91/2 - 3/91/2 + 4/91/2 - 4/91/2 + 5/91/2 - 5/91/2 + 6/91/2 - 6/91/2 + 7/91/2 - 7/91/2 + 8/91/2 - 8/91/2 + 1/101/2 - 1/101/2 + 2/101/2 - 2/101/2 + 3/101/2 - 3/101/2 + 4/101/2 - 4/101/2 + 5/101/2 - 5/101/2 + 6/101/2 - 6/101/2 + 7/101/2 - 7/101/2 + 8/101/2 - 8/101/2 + 9/101/2 - 9/101/2 + 1/111/2 - 1/111/2 + 2/111/2 - 2/111/2 + 3/111/2 - 3/111/2 + 4/111/2 - 4/111/2 + 5/111/2 - 5/111/2 + 6/111/2 - 6/111/2 + 7/111/2 - 7/111/2 + 8/111/2 - 8/111/2 + 9/111/2 - 9/111/2 + 10/111/2 - 10/111/2 + 1/121/2 - 1/121/2 + 2/121/2 - 2/121/2 + 3/121/2 - 3/121/2 + 4/121/2 - 4/121/2 + 5/121/2 - 5/121/2 + 6/121/2 - 6/121/2 + 7/121/2 - 7/121/2 + 8/121/2 - 8/121/2 + 9/121/2 - 9/121/2 + 10/121/2 - 10/121/2 + 11/121/2 - 11/12

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