math help

What is 45/4 + 9/11?

What is 45/4 + 9/11?

This is how to add

45
4
+
9
11

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 45 by 11, and get 495, then we multiply 4 by 11 and get 44.

45/4 times 11

Now for the second term. You multiply 9 by 4, and get 36, then multiply 4 by 11 and get 44.

9/11 times 4

This gives us a new problem that looks like so:

495
44
+
36
44

Step 2

Since our denominators match, we can add the numerators.

495 + 36 = 531

So what's the answer so far?

531
44

Step 3

Can this fraction be reduced?

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

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...

Nope! So now we try the next greatest prime number, 41...

Nope! So now we try the next greatest prime number, 43...

Nope! So now we try the next greatest prime number, 47...

No good. 47 is larger than 44. So we're done reducing.

There you have it! Here's the final answer to 45/4 + 9/11

45
4
+
9
11
=
531
44
© 2014 Randy Tayler