math help

What is 55/55 + 10/11?

What is 55/55 + 10/11?

Here's how you add

55
55
+
10
11

Step 1

We have to make sure the denominators are equal.

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

Multiply 10 by 5, and get 50, then we multiply 11 by 5 and get 55.

10/11 times 5

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

55
55
+
50
55

Step 2

Since our denominators match, we can add the numerators.

55 + 50 = 105

Answer:

105
55

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

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...

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

105
55
÷ 5 =
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 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 55/55 + 10/11

55
55
+
10
11
=
21
11
© 2014 Randy Tayler

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