math help

What is 12/1 + 10/12?

What is 12/1 + 10/12?

Here's how to add

12
1
 +
10
12

Step 1

We have to make sure the denominators are equal.

12 goes into 1 evenly, so we only need to multiply one term to get a common denominator.

Multiply 12 by 12, and get 144, then we multiply 1 by 12 and get 12.

12/1 times 12

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

144
12
 +
10
12

Step 2

Since our denominators match, we can add the numerators.

144 + 10 = 154

Answer:

154
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:

154
12
 ÷ 2 =
77
6

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. 7 is larger than 6. So we're done reducing.

And we're done! Here's the final answer to 12/1 + 10/12

12
1
 +
10
12
 =
77
6
© 2014 Randy Tayler

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