math help

What is 16/48 + 11/12?

What is 16/48 + 11/12?

This is how we add

16
48
+
11
12

Step 1

Now we need to make our denominators match.

48 goes into 12 evenly, so we only need to multiply one term to get a common denominator.

Multiply 11 by 4, and get 44, then we multiply 12 by 4 and get 48.

11/12 times 4

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

16
48
+
44
48

Step 2

Since our denominators match, we can add the numerators.

16 + 44 = 60

That gives us the sum, which is

60
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:

60
48
÷ 2 =
30
24

Let's try dividing by that again...

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

30
24
÷ 2 =
15
12

Let's try dividing by that again...

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

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

15
12
÷ 3 =
5
4

Let's try dividing by that again...

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 16/48 + 11/12

16
48
+
11
12
=
5
4
© 2014 Randy Tayler

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