math help

What is 1/14 + 2/4?

What is 1/14 + 2/4?

Here's how to add

1
14
+
2
4

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 1 by 4, and get 4, then we multiply 14 by 4 and get 56.

1/14 times 4

Now for the second term. You multiply 2 by 14, and get 28, then multiply 14 by 4 and get 56.

2/4 times 14

This gives us a new problem that looks like so:

4
56
+
28
56

Step 2

Since our denominators match, we can add the numerators.

4 + 28 = 32

So what's the answer so far?

32
56

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:

32
56
÷ 2 =
16
28

Let's try dividing by that again...

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

16
28
÷ 2 =
8
14

Let's try dividing by that again...

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

8
14
÷ 2 =
4
7

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 1/14 + 2/4

1
14
+
2
4
=
4
7
© 2014 Randy Tayler