math help

What is 24/5 + 6/8?

What is 24/5 + 6/8?

Let's add

24
5
+
6
8

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 24 by 8, and get 192, then we multiply 5 by 8 and get 40.

24/5 times 8

Now for the second term. You multiply 6 by 5, and get 30, then multiply 5 by 8 and get 40.

6/8 times 5

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

192
40
+
30
40

Step 2

Since our denominators match, we can add the numerators.

192 + 30 = 222

Answer:

222
40

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:

222
40
÷ 2 =
111
20

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...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

No good. 23 is larger than 20. So we're done reducing.

Congratulations! Here's your final answer to 24/5 + 6/8

24
5
+
6
8
=
111
20
© 2014 Randy Tayler