math help

What is 96/2 + 2/3?

What is 96/2 + 2/3?

Here's how you add

96
2
+
2
3

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 96 by 3, and get 288, then we multiply 2 by 3 and get 6.

96/2 times 3

Now for the second term. You multiply 2 by 2, and get 4, then multiply 2 by 3 and get 6.

2/3 times 2

We now have a new problem, that looks like this:

288
6
+
4
6

Step 2

Since our denominators match, we can add the numerators.

288 + 4 = 292

That gives us the sum, which is

292
6

Step 3

Now, do we need to simplify this fraction?

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

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

292
6
÷ 2 =
146
3

Now, try the same number again.

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

No good. 5 is larger than 3. So we're done reducing.

Congratulations! Here's your final answer to 96/2 + 2/3

96
2
+
2
3
=
146
3
© 2014 Randy Tayler