math help

What is 4/4 + 2/3?

What is 4/4 + 2/3?

This is how to add

4
4
+
2
3

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

4/4 times 3

Now for the second term. You multiply 2 by 4, and get 8, then multiply 4 by 3 and get 12.

2/3 times 4

This gives us a new problem that looks like so:

12
12
+
8
12

Step 2

Since our denominators match, we can add the numerators.

12 + 8 = 20

So what's the answer so far?

20
12

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:

20
12
÷ 2 =
10
6

Now, try the same number again.

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

10
6
÷ 2 =
5
3

Now, try the same number again.

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

No good. 5 is larger than 3. So we're done reducing.

Congratulations! Here's your final answer to 4/4 + 2/3

4
4
+
2
3
=
5
3
© 2014 Randy Tayler