## Step 1

We quiet have various denominators (bottom numbers), though, therefore we require to acquire a common denominator. This will make the bottom number match. Multiply the denominators with each other first. Now, multiply each molecule by the various other term"s denominator.

You are watching: 1/5+1/2

Now we multiply 1 by 5, and also get 5, then us multiply 2 by 5 and get 10.

Now for the second term. You multiply 1 through 2, and also get 2, climate multiply 2 by 5 and get 10.

This offers us a new problem that looks favor so:

5
 10
+2
10

## Step 2

Since our denominators match, us can add the numerators.

5 + 2 = 7

That provides us an answer of

7
 10

## Step 3

Can this portion be reduced?

First, we attempt to division it through 2...

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

Nope! So now we shot the next best prime number, 5...

Nope! So currently we try the next biggest prime number, 7...

Nope! So now we shot the next biggest prime number, 11...

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No good. 11 is bigger than 7. Therefore we"re done reducing.

There you have it! Here"s the final answer come 1/2 + 1/51
 2
+1
5
=7
10

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