math help

What is 22/22 + 1/2?

What is 22/22 + 1/2?

Here's how you add

22
22
+
1
2

Step 1

We have to make sure the denominators are equal.

22 goes into 2 evenly, so we only need to multiply one term to get a common denominator.

Multiply 1 by 11, and get 11, then we multiply 2 by 11 and get 22.

1/2 times 11

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

22
22
+
11
22

Step 2

Since our denominators match, we can add the numerators.

22 + 11 = 33

That gives us the sum, which is

33
22

Step 3

Now, do we need to simplify this fraction?

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

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. So next you try the next prime number, which is 11...

Are both the numerator and the denominator evenly divisible by 11? Yes! So we reduce it:

33
22
÷ 11 =
3
2

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

No good. 11 is larger than 3. So we're done reducing.

And we're done! Here's the final answer to 22/22 + 1/2

22
22
+
1
2
=
3
2
© 2014 Randy Tayler