math help

What is 22/22 + 1/10?

What is 22/22 + 1/10?

This is how to add

22
22
+
1
10

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 22 by 10, and get 220, then we multiply 22 by 10 and get 220.

22/22 times 10

Now for the second term. You multiply 1 by 22, and get 22, then multiply 22 by 10 and get 220.

1/10 times 22

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

220
220
+
22
220

Step 2

Since our denominators match, we can add the numerators.

220 + 22 = 242

That gives us the sum, which is

242
220

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:

242
220
÷ 2 =
121
110

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:

121
110
÷ 11 =
11
10

Now, try the same number again.

No good. 11 is larger than 10. So we're done reducing.

Congratulations! Here's your final answer to 22/22 + 1/10

22
22
+
1
10
=
11
10
© 2014 Randy Tayler