math help

What is 24/5 + 4/10?

What is 24/5 + 4/10?

Let's add

24
5
+
4
10

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

10 goes into 5 evenly, so we only need to multiply one term to get a common denominator.

Multiply 24 by 2, and get 48, then we multiply 5 by 2 and get 10.

24/5 times 2

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

48
10
+
4
10

Step 2

Since our denominators match, we can add the numerators.

48 + 4 = 52

Answer:

52
10

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:

52
10
÷ 2 =
26
5

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 5. So we're done reducing.

Congratulations! Here's your final answer to 24/5 + 4/10

24
5
+
4
10
=
26
5
© 2014 Randy Tayler