math help

What is 15/60 + 6/12?

What is 15/60 + 6/12?

This is how you add

15
60
+
6
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 6 by 5, and get 30, then we multiply 12 by 5 and get 60.

6/12 times 5

This gives us a new problem that looks like so:

15
60
+
30
60

Step 2

Since our denominators match, we can add the numerators.

15 + 30 = 45

So what's the answer so far?

45
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:

45
60
÷ 3 =
15
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:

15
20
÷ 5 =
3
4

Let's try dividing by that again...

No good. 5 is larger than 3. So we're done reducing.

There you have it! Here's the final answer to 15/60 + 6/12

15
60
+
6
12
=
3
4
© 2014 Randy Tayler