math help

What is 22/22 + 9/12?

What is 22/22 + 9/12?

This is how you add

22
22
+
9
12

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 22 by 12, and get 264, then we multiply 22 by 12 and get 264.

22/22 times 12

Now for the second term. You multiply 9 by 22, and get 198, then multiply 22 by 12 and get 264.

9/12 times 22

This gives us a new problem that looks like so:

264
264
+
198
264

Step 2

Since our denominators match, we can add the numerators.

264 + 198 = 462

That gives us an answer of

462
264

Step 3

Can this fraction be reduced?

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

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

462
264
÷ 2 =
231
132

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...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

231
132
÷ 3 =
77
44

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 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:

77
44
÷ 11 =
7
4

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

No good. 11 is larger than 7. So we're done reducing.

And we're done! Here's the final answer to 22/22 + 9/12

22
22
+
9
12
=
7
4
© 2014 Randy Tayler