math help

What is 60/60 + 3/4?

What is 60/60 + 3/4?

Let's add

60
60
+
3
4

Step 1

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

60 goes into 4 evenly, so we only need to multiply one term to get a common denominator.

Multiply 3 by 15, and get 45, then we multiply 4 by 15 and get 60.

3/4 times 15

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

60
60
+
45
60

Step 2

Since our denominators match, we can add the numerators.

60 + 45 = 105

That gives us the sum, which is

105
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:

105
60
÷ 3 =
35
20

Now, try the same number again.

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

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

35
20
÷ 5 =
7
4

Now, try the same number again.

No good. 5 is larger than 4. So we're done reducing.

Congratulations! Here's your final answer to 60/60 + 3/4

60
60
+
3
4
=
7
4
© 2014 Randy Tayler