math help

What is 60/60 + 5/8?

What is 60/60 + 5/8?

Here's how to add

60
60
+
5
8

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 8, and get 480, then we multiply 60 by 8 and get 480.

60/60 times 8

Now for the second term. You multiply 5 by 60, and get 300, then multiply 60 by 8 and get 480.

5/8 times 60

This gives us a new problem that looks like so:

480
480
+
300
480

Step 2

Since our denominators match, we can add the numerators.

480 + 300 = 780

So what's the answer so far?

780
480

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:

780
480
÷ 2 =
390
240

Now, try the same number again.

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

390
240
÷ 2 =
195
120

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:

195
120
÷ 3 =
65
40

Now, try the same number again.

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

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

65
40
÷ 5 =
13
8

Now, try the same number again.

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

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

No good. 11 is larger than 8. So we're done reducing.

Congratulations! Here's your final answer to 60/60 + 5/8

60
60
+
5
8
=
13
8
© 2014 Randy Tayler