math help

What is 45/4 + 2/8?

What is 45/4 + 2/8?

This is how we add

45
4
+
2
8

Step 1

We have to make sure the denominators are equal.

8 goes into 4 evenly, so we only need to multiply one term to get a common denominator.

Multiply 45 by 2, and get 90, then we multiply 4 by 2 and get 8.

45/4 times 2

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

90
8
+
2
8

Step 2

Since our denominators match, we can add the numerators.

90 + 2 = 92

Answer:

92
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:

92
8
÷ 2 =
46
4

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:

46
4
÷ 2 =
23
2

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...

No good. 3 is larger than 2. So we're done reducing.

And we're done! Here's the final answer to 45/4 + 2/8

45
4
+
2
8
=
23
2
© 2014 Randy Tayler