math help

What is 60/60 + 2/5?

What is 60/60 + 2/5?

Let's add

60
60
+
2
5

Step 1

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

60 goes into 5 evenly, so we only need to multiply one term to get a common denominator.

Multiply 2 by 12, and get 24, then we multiply 5 by 12 and get 60.

2/5 times 12

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

60
60
+
24
60

Step 2

Since our denominators match, we can add the numerators.

60 + 24 = 84

That gives us the sum, which is

84
60

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:

84
60
÷ 2 =
42
30

Now, try the same number again.

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

42
30
÷ 2 =
21
15

Now, try the same number again.

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

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

21
15
÷ 3 =
7
5

Now, try the same number again.

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

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

No good. 7 is larger than 5. So we're done reducing.

Congratulations! Here's your final answer to 60/60 + 2/5

60
60
+
2
5
=
7
5
© 2014 Randy Tayler