math help

What is 22/22 + 5/12?

What is 22/22 + 5/12?

Here's how you add

22
22
+
5
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 5 by 22, and get 110, then multiply 22 by 12 and get 264.

5/12 times 22

This gives us a new problem that looks like so:

264
264
+
110
264

Step 2

Since our denominators match, we can add the numerators.

264 + 110 = 374

So what's the answer so far?

374
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:

374
264
÷ 2 =
187
132

Now, try the same number again.

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

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

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

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

187
132
÷ 11 =
17
12

Now, try the same number again.

Nope. Try the next prime number, 13...

No good. 13 is larger than 12. So we're done reducing.

Congratulations! Here's your final answer to 22/22 + 5/12

22
22
+
5
12
=
17
12
© 2014 Randy Tayler