math help

What is 45/4 + 6/8?

What is 45/4 + 6/8?

Here's how to add

45
4
+
6
8

Step 1

Now we need to make our denominators match.

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
+
6
8

Step 2

Since our denominators match, we can add the numerators.

90 + 6 = 96

That gives us the sum, which is

96
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:

96
8
÷ 2 =
48
4

Let's try dividing by that again...

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

48
4
÷ 2 =
24
2

Let's try dividing by that again...

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

24
2
÷ 2 =
12
1

Let's try dividing by that again...

No good. 2 is larger than 1. So we're done reducing.

There you have it! Here's the final answer to 45/4 + 6/8

45
4
+
6
8
=
12
1
= 12
© 2014 Randy Tayler