math help

What is 24/5 + 2/4?

What is 24/5 + 2/4?

Here's how to add

24
5
+
2
4

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 4, and get 96, then we multiply 5 by 4 and get 20.

24/5 times 4

Now for the second term. You multiply 2 by 5, and get 10, then multiply 5 by 4 and get 20.

2/4 times 5

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

96
20
+
10
20

Step 2

Since our denominators match, we can add the numerators.

96 + 10 = 106

Answer:

106
20

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:

106
20
÷ 2 =
53
10

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. 11 is larger than 10. So we're done reducing.

And we're done! Here's the final answer to 24/5 + 2/4

24
5
+
2
4
=
53
10
© 2014 Randy Tayler