math help

What is 96/2 + 4/11?

What is 96/2 + 4/11?

Let's add

96
2
+
4
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 96 by 11, and get 1056, then we multiply 2 by 11 and get 22.

96/2 times 11

Now for the second term. You multiply 4 by 2, and get 8, then multiply 2 by 11 and get 22.

4/11 times 2

This gives us a new problem that looks like so:

1056
22
+
8
22

Step 2

Since our denominators match, we can add the numerators.

1056 + 8 = 1064

That gives us an answer of

1064
22

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:

1064
22
÷ 2 =
532
11

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. 13 is larger than 11. So we're done reducing.

And we're done! Here's the final answer to 96/2 + 4/11

96
2
+
4
11
=
532
11
© 2014 Randy Tayler