math help

What is 96/2 + 4/5?

What is 96/2 + 4/5?

This is how you add

96
2
+
4
5

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 5, and get 480, then we multiply 2 by 5 and get 10.

96/2 times 5

Now for the second term. You multiply 4 by 2, and get 8, then multiply 2 by 5 and get 10.

4/5 times 2

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

480
10
+
8
10

Step 2

Since our denominators match, we can add the numerators.

480 + 8 = 488

Answer:

488
10

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:

488
10
÷ 2 =
244
5

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. 7 is larger than 5. So we're done reducing.

And we're done! Here's the final answer to 96/2 + 4/5

96
2
+
4
5
=
244
5
© 2014 Randy Tayler