math help

What is 24/5 + 11/12?

What is 24/5 + 11/12?

This is how we add

24
5
+
11
12

Step 1

We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 24 by 12, and get 288, then we multiply 5 by 12 and get 60.

24/5 times 12

Do the same for the second term. We multiply 11 by 5, and get 55, then multiply 5 by 12 and get 60.

11/12 times 5

So now our fractions look like this:

288
60
+
55
60

Step 2

Since our denominators match, we can add the numerators.

288 + 55 = 343

Now we have an answer.

343
60

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

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...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

No good. 61 is larger than 60. So we're done reducing.

Congratulations! Here's your final answer to 24/5 + 11/12

24
5
+
11
12
=
343
60
© 2014 Randy Tayler

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