math help

What is 60/60 + 9/12?

What is 60/60 + 9/12?

Let's add

60
60
+
9
12

Step 1

Now we need to make our denominators match.

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

Multiply 9 by 5, and get 45, then we multiply 12 by 5 and get 60.

9/12 times 5

This gives us a new problem that looks like so:

60
60
+
45
60

Step 2

Since our denominators match, we can add the numerators.

60 + 45 = 105

So what's the answer so far?

105
60

Step 3

Can this fraction be reduced?

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

Nope! So now we try the next greatest prime number, 3...

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

105
60
÷ 3 =
35
20

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 5...

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

35
20
÷ 5 =
7
4

Let's try dividing by that again...

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

There you have it! Here's the final answer to 60/60 + 9/12

60
60
+
9
12
=
7
4
© 2014 Randy Tayler