math help

What is 60/60 + 11/12?

What is 60/60 + 11/12?

This is how we add

60
60
+
11
12

Step 1

We have to make sure the denominators are equal.

60 goes into 12 evenly, so we only need to multiply one term to get a common denominator.

Multiply 11 by 5, and get 55, then we multiply 12 by 5 and get 60.

11/12 times 5

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

60
60
+
55
60

Step 2

Since our denominators match, we can add the numerators.

60 + 55 = 115

That gives us the sum, which is

115
60

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:

115
60
÷ 5 =
23
12

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 12. So we're done reducing.

And we're done! Here's the final answer to 60/60 + 11/12

60
60
+
11
12
=
23
12
© 2014 Randy Tayler

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