math help

What is 22/22 + 2/11?

What is 22/22 + 2/11?

Let's add

22
22
+
2
11

Step 1

Now we need to make our denominators match.

22 goes into 11 evenly, so we only need to multiply one term to get a common denominator.

Multiply 2 by 2, and get 4, then we multiply 11 by 2 and get 22.

2/11 times 2

This gives us a new problem that looks like so:

22
22
+
4
22

Step 2

Since our denominators match, we can add the numerators.

22 + 4 = 26

That gives us an answer of

26
22

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:

26
22
÷ 2 =
13
11

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

No good. 13 is larger than 11. So we're done reducing.

There you have it! Here's the final answer to 22/22 + 2/11

22
22
+
2
11
=
13
11
© 2014 Randy Tayler