math help

What is 56/60 + 11/12?

What is 56/60 + 11/12?

This is how to add

56
60
+
11
12

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

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:

56
60
+
55
60

Step 2

Since our denominators match, we can add the numerators.

56 + 55 = 111

Answer:

111
60

Step 3

Now, do we need to simplify this fraction?

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

Nope. Try the next prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

111
60
÷ 3 =
37
20

Now, try the same number again.

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

No good. 23 is larger than 20. So we're done reducing.

Congratulations! Here's your final answer to 56/60 + 11/12

56
60
+
11
12
=
37
20
© 2014 Randy Tayler

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