math help

What is 80/2 + 6/9?

What is 80/2 + 6/9?

This is how to add

80
2
+
6
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 6 by 2, and get 12, then multiply 2 by 9 and get 18.

6/9 times 2

This gives us a new problem that looks like so:

720
18
+
12
18

Step 2

Since our denominators match, we can add the numerators.

720 + 12 = 732

That gives us an answer of

732
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:

732
18
÷ 2 =
366
9

Now, try the same number again.

Nope. Try the next prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

366
9
÷ 3 =
122
3

Now, try the same number again.

Nope. Try the next prime number, 5...

No good. 5 is larger than 3. So we're done reducing.

Congratulations! Here's your final answer to 80/2 + 6/9

80
2
+
6
9
=
122
3
© 2014 Randy Tayler