math help

What is 22/22 + 7/11?

What is 22/22 + 7/11?

This is how to add

22
22
+
7
11

Step 1

We have to make sure the denominators are equal.

Since 11 is evenly divided by 22, we can multiply just one term to get a common denominator.

Multiply 7 by 2, and get 14, then we multiply 11 by 2 and get 22.

7/11 times 2

The problem now has new fractions to add:

22
22
+
14
22

Step 2

Since our denominators match, we can add the numerators.

22 + 14 = 36

The sum we get is

36
22

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing it by 2...

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

36
22
÷ 2 =
18
11

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...

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...

No good. So next you try the next prime number, which is 13...

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

And we're done! Here's the final answer to 22/22 + 7/11

22
22
+
7
11
=
18
11
© 2014 Randy Tayler