math help

What is 15/11 + 3/4?

What is 15/11 + 3/4?

Here's how you add

15
11
+
3
4

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 15 by 4, and get 60, then we multiply 11 by 4 and get 44.

15/11 times 4

Now for the second term. You multiply 3 by 11, and get 33, then multiply 11 by 4 and get 44.

3/4 times 11

This gives us a new problem that looks like so:

60
44
+
33
44

Step 2

Since our denominators match, we can add the numerators.

60 + 33 = 93

That gives us an answer of

93
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 15/11 + 3/4

15
11
+
3
4
=
93
44
© 2014 Randy Tayler