math help

What is 50/8 + 2/9?

What is 50/8 + 2/9?

This is how to add

50
8
+
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 50 by 9, and get 450, then we multiply 8 by 9 and get 72.

50/8 times 9

Now for the second term. You multiply 2 by 8, and get 16, then multiply 8 by 9 and get 72.

2/9 times 8

This gives us a new problem that looks like so:

450
72
+
16
72

Step 2

Since our denominators match, we can add the numerators.

450 + 16 = 466

So what's the answer so far?

466
72

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:

466
72
÷ 2 =
233
36

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...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

Nope! So now we try the next greatest prime number, 31...

Nope! So now we try the next greatest prime number, 37...

No good. 37 is larger than 36. So we're done reducing.

There you have it! Here's the final answer to 50/8 + 2/9

50
8
+
2
9
=
233
36
© 2014 Randy Tayler