math help

What is 80/2 + 8/9?

What is 80/2 + 8/9?

Let's add

80
2
+
8
9

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 9, and get 720, then we multiply 2 by 9 and get 18.

80/2 times 9

Now for the second term. You multiply 8 by 2, and get 16, then multiply 2 by 9 and get 18.

8/9 times 2

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

720
18
+
16
18

Step 2

Since our denominators match, we can add the numerators.

720 + 16 = 736

Answer:

736
18

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:

736
18
÷ 2 =
368
9

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...

No good. 11 is larger than 9. So we're done reducing.

There you have it! Here's the final answer to 80/2 + 8/9

80
2
+
8
9
=
368
9
© 2014 Randy Tayler