math help

What is 60/48 + 8/11?

What is 60/48 + 8/11?

Let's add

60
48
+
8
11

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 60 by 11, and get 660, then we multiply 48 by 11 and get 528.

60/48 times 11

Now for the second term. You multiply 8 by 48, and get 384, then multiply 48 by 11 and get 528.

8/11 times 48

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

660
528
+
384
528

Step 2

Since our denominators match, we can add the numerators.

660 + 384 = 1044

That gives us the sum, which is

1044
528

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:

1044
528
÷ 2 =
522
264

Now, try the same number again.

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

522
264
÷ 2 =
261
132

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:

261
132
÷ 3 =
87
44

Now, try the same number again.

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

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

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

No good. 47 is larger than 44. So we're done reducing.

Congratulations! Here's your final answer to 60/48 + 8/11

60
48
+
8
11
=
87
44
© 2014 Randy Tayler