math help

What is 24/5 + 10/12?

What is 24/5 + 10/12?

This is how you add

24
5
+
10
12

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 12, and get 288, then we multiply 5 by 12 and get 60.

24/5 times 12

Now for the second term. You multiply 10 by 5, and get 50, then multiply 5 by 12 and get 60.

10/12 times 5

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

288
60
+
50
60

Step 2

Since our denominators match, we can add the numerators.

288 + 50 = 338

Answer:

338
60

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:

338
60
÷ 2 =
169
30

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

Nope! So now we try the next greatest prime number, 31...

No good. 31 is larger than 30. So we're done reducing.

There you have it! Here's the final answer to 24/5 + 10/12

24
5
+
10
12
=
169
30
© 2014 Randy Tayler

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