math help

What is 32/1 + 2/8?

What is 32/1 + 2/8?

Let's add

32
1
+
2
8

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

8 goes into 1 evenly, so we only need to multiply one term to get a common denominator.

Multiply 32 by 8, and get 256, then we multiply 1 by 8 and get 8.

32/1 times 8

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

256
8
+
2
8

Step 2

Since our denominators match, we can add the numerators.

256 + 2 = 258

Answer:

258
8

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:

258
8
÷ 2 =
129
4

Now, try the same number again.

Nope. Try the next prime number, 3...

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

No good. 5 is larger than 4. So we're done reducing.

Congratulations! Here's your final answer to 32/1 + 2/8

32
1
+
2
8
=
129
4
© 2014 Randy Tayler