math help

What is 64/16 + 3/4?

What is 64/16 + 3/4?

This is how we add

64
16
+
3
4

Step 1

Now we need to make our denominators match.

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

Multiply 3 by 4, and get 12, then we multiply 4 by 4 and get 16.

3/4 times 4

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

64
16
+
12
16

Step 2

Since our denominators match, we can add the numerators.

64 + 12 = 76

That gives us the sum, which is

76
16

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:

76
16
÷ 2 =
38
8

Let's try dividing by that again...

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

38
8
÷ 2 =
19
4

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

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

There you have it! Here's the final answer to 64/16 + 3/4

64
16
+
3
4
=
19
4
© 2014 Randy Tayler