math help

What is 16/48 + 3/8?

What is 16/48 + 3/8?

Here's how you add

16
48
+
3
8

Step 1

Now we need to make our denominators match.

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

Multiply 3 by 6, and get 18, then we multiply 8 by 6 and get 48.

3/8 times 6

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

16
48
+
18
48

Step 2

Since our denominators match, we can add the numerators.

16 + 18 = 34

Answer:

34
48

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:

34
48
÷ 2 =
17
24

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...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

No good. 19 is larger than 17. So we're done reducing.

There you have it! Here's the final answer to 16/48 + 3/8

16
48
+
3
8
=
17
24
© 2014 Randy Tayler