math help

What is 80/2 + 2/9?

What is 80/2 + 2/9?

This is how you add

80
2
+
2
9

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now 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 2 by 2, and get 4, then multiply 2 by 9 and get 18.

2/9 times 2

This gives us a new problem that looks like so:

720
18
+
4
18

Step 2

Since our denominators match, we can add the numerators.

720 + 4 = 724

So what's the answer so far?

724
18

Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

724
18
÷ 2 =
362
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 + 2/9

80
2
+
2
9
=
362
9
© 2014 Randy Tayler