math help

What is 80/2 + 6/11?

What is 80/2 + 6/11?

Let's add

80
2
+
6
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 6 by 2, and get 12, then multiply 2 by 11 and get 22.

6/11 times 2

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

880
22
+
12
22

Step 2

Since our denominators match, we can add the numerators.

880 + 12 = 892

Answer:

892
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:

892
22
÷ 2 =
446
11

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...

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

There you have it! Here's the final answer to 80/2 + 6/11

80
2
+
6
11
=
446
11
© 2014 Randy Tayler