math help

What is 22/22 + 1/11?

What is 22/22 + 1/11?

Here's how to add

22
22
+
1
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 1 by 2, and get 2, then we multiply 11 by 2 and get 22.

1/11 times 2

So now our fractions look like this:

22
22
+
2
22

Step 2

Since our denominators match, we can add the numerators.

22 + 2 = 24

So the answer is:

24
22

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

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:

24
22
÷ 2 =
12
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 12. So we're done reducing.

And we're done! Here's the final answer to 22/22 + 1/11

22
22
+
1
11
=
12
11
© 2014 Randy Tayler