math help

What is 22/22 + 10/11?

What is 22/22 + 10/11?

This is how you add

22
22
+
10
11

Step 1

We have to make sure the denominators are equal.

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

Multiply 10 by 2, and get 20, then we multiply 11 by 2 and get 22.

10/11 times 2

This gives us a new problem that looks like so:

22
22
+
20
22

Step 2

Since our denominators match, we can add the numerators.

22 + 20 = 42

That gives us an answer of

42
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:

42
22
÷ 2 =
21
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 + 10/11

22
22
+
10
11
=
21
11
© 2014 Randy Tayler

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