math help

What is 7/4 + 2/8?

What is 7/4 + 2/8?

Here's how to add

7
4
+
2
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 7 by 2, and get 14, then we multiply 4 by 2 and get 8.

7/4 times 2

This gives us a new problem that looks like so:

14
8
+
2
8

Step 2

Since our denominators match, we can add the numerators.

14 + 2 = 16

So what's the answer so far?

16
8

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:

16
8
÷ 2 =
8
4

Let's try dividing by that again...

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

8
4
÷ 2 =
4
2

Let's try dividing by that again...

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

4
2
÷ 2 =
2
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 7/4 + 2/8

7
4
+
2
8
=
2
1
= 2
© 2014 Randy Tayler