math help

What is 11/12 + 4/5?

What is 11/12 + 4/5?

Here's how we add

11
12
+
4
5

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 11 by 5, and get 55, then we multiply 12 by 5 and get 60.

11/12 times 5

Do the same for the second term. We multiply 4 by 12, and get 48, then multiply 12 by 5 and get 60.

4/5 times 12

So now our fractions look like this:

55
60
+
48
60

Step 2

Since our denominators match, we can add the numerators.

55 + 48 = 103

So the answer is:

103
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...

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. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. So next you try the next prime number, which is 29...

No good. So next you try the next prime number, which is 31...

No good. So next you try the next prime number, which is 37...

No good. So next you try the next prime number, which is 41...

No good. So next you try the next prime number, which is 43...

No good. So next you try the next prime number, which is 47...

No good. So next you try the next prime number, which is 53...

No good. So next you try the next prime number, which is 59...

No good. So next you try the next prime number, which is 61...

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

And we're done! Here's the final answer to 11/12 + 4/5

11
12
+
4
5
=
103
60
© 2014 Randy Tayler