math help

What is 96/2 + 8/11?

What is 96/2 + 8/11?

Here's how you add

96
2
+
8
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 8 by 2, and get 16, then multiply 2 by 11 and get 22.

8/11 times 2

This gives us a new problem that looks like so:

1056
22
+
16
22

Step 2

Since our denominators match, we can add the numerators.

1056 + 16 = 1072

So what's the answer so far?

1072
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:

1072
22
÷ 2 =
536
11

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...

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

There you have it! Here's the final answer to 96/2 + 8/11

96
2
+
8
11
=
536
11
© 2014 Randy Tayler