math help

What is 80/2 + 2/11?

What is 80/2 + 2/11?

Here's how we add

80
2
+
2
11

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 80 by 11, and get 880, then we multiply 2 by 11 and get 22.

80/2 times 11

Now for the second term. You multiply 2 by 2, and get 4, then multiply 2 by 11 and get 22.

2/11 times 2

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

880
22
+
4
22

Step 2

Since our denominators match, we can add the numerators.

880 + 4 = 884

That gives us the sum, which is

884
22

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:

884
22
÷ 2 =
442
11

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

No good. 13 is larger than 11. So we're done reducing.

And we're done! Here's the final answer to 80/2 + 2/11

80
2
+
2
11
=
442
11
© 2014 Randy Tayler