math help

What is 4/3 + 2/4?

What is 4/3 + 2/4?

This is how to add

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

4/3 times 4

Now for the second term. You multiply 2 by 3, and get 6, then multiply 3 by 4 and get 12.

2/4 times 3

This gives us a new problem that looks like so:

16
12
+
6
12

Step 2

Since our denominators match, we can add the numerators.

16 + 6 = 22

So what's the answer so far?

22
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:

22
12
÷ 2 =
11
6

Now, try the same number again.

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

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

Nope. Try the next prime number, 7...

No good. 7 is larger than 6. So we're done reducing.

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

4
3
+
2
4
=
11
6
© 2014 Randy Tayler