math help

What is 60/48 + 8/9?

What is 60/48 + 8/9?

This is how to add

60
48
+
8
9

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 60 by 9, and get 540, then we multiply 48 by 9 and get 432.

60/48 times 9

Now for the second term. You multiply 8 by 48, and get 384, then multiply 48 by 9 and get 432.

8/9 times 48

This gives us a new problem that looks like so:

540
432
+
384
432

Step 2

Since our denominators match, we can add the numerators.

540 + 384 = 924

So what's the answer so far?

924
432

Step 3

Can this fraction be reduced?

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

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

924
432
÷ 2 =
462
216

So far so good... let's try to divide by that number again.

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

462
216
÷ 2 =
231
108

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

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

231
108
÷ 3 =
77
36

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. So next you try the next prime number, which is 29...

No good. So next you try the next prime number, which is 31...

No good. So next you try the next prime number, which is 37...

No good. 37 is larger than 36. So we're done reducing.

And we're done! Here's the final answer to 60/48 + 8/9

60
48
+
8
9
=
77
36
© 2014 Randy Tayler