math help

What is 3/6 + 10/12?

What is 3/6 + 10/12?

This is how we add

3
6
+
10
12

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

12 goes into 6 evenly, so we only need to multiply one term to get a common denominator.

Multiply 3 by 2, and get 6, then we multiply 6 by 2 and get 12.

3/6 times 2

We now have a new problem, that looks like this:

6
12
+
10
12

Step 2

Since our denominators match, we can add the numerators.

6 + 10 = 16

That gives us the sum, which is

16
12

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

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

16
12
÷ 2 =
8
6

Now, try the same number again.

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

8
6
÷ 2 =
4
3

Now, try the same number again.

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

No good. 5 is larger than 4. So we're done reducing.

Congratulations! Here's your final answer to 3/6 + 10/12

3
6
+
10
12
=
4
3
© 2014 Randy Tayler

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