math help

What is 15/60 + 7/11?

What is 15/60 + 7/11?

This is how you add

15
60
+
7
11

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 15 by 11, and get 165, then we multiply 60 by 11 and get 660.

15/60 times 11

Now for the second term. You multiply 7 by 60, and get 420, then multiply 60 by 11 and get 660.

7/11 times 60

This gives us a new problem that looks like so:

165
660
+
420
660

Step 2

Since our denominators match, we can add the numerators.

165 + 420 = 585

So what's the answer so far?

585
660

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:

585
660
÷ 3 =
195
220

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:

195
220
÷ 5 =
39
44

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

Nope! So now we try the next greatest prime number, 31...

Nope! So now we try the next greatest prime number, 37...

Nope! So now we try the next greatest prime number, 41...

No good. 41 is larger than 39. So we're done reducing.

There you have it! Here's the final answer to 15/60 + 7/11

15
60
+
7
11
=
39
44
© 2014 Randy Tayler