math help

What is 60/48 + 11/12?

What is 60/48 + 11/12?

Here's how you add

60
48
+
11
12

Step 1

We have to make sure the denominators are equal.

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

Multiply 11 by 4, and get 44, then we multiply 12 by 4 and get 48.

11/12 times 4

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

60
48
+
44
48

Step 2

Since our denominators match, we can add the numerators.

60 + 44 = 104

Answer:

104
48

Step 3

Now, do we need to simplify this fraction?

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

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

104
48
÷ 2 =
52
24

So far so good... let's try to divide by that number again.

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

52
24
÷ 2 =
26
12

So far so good... let's try to divide by that number again.

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

26
12
÷ 2 =
13
6

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. 7 is larger than 6. So we're done reducing.

And we're done! Here's the final answer to 60/48 + 11/12

60
48
+
11
12
=
13
6
© 2014 Randy Tayler

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