math help

What is 60/48 + 7/12?

What is 60/48 + 7/12?

Let's add

60
48
+
7
12

Step 1

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

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

Multiply 7 by 4, and get 28, then we multiply 12 by 4 and get 48.

7/12 times 4

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

60
48
+
28
48

Step 2

Since our denominators match, we can add the numerators.

60 + 28 = 88

That gives us the sum, which is

88
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:

88
48
÷ 2 =
44
24

Now, try the same number again.

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

44
24
÷ 2 =
22
12

Now, try the same number again.

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

22
12
÷ 2 =
11
6

Now, try the same number again.

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

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

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

No good. 7 is larger than 6. So we're done reducing.

Congratulations! Here's your final answer to 60/48 + 7/12

60
48
+
7
12
=
11
6
© 2014 Randy Tayler