math help

What is 96/2 + 2/5?

What is 96/2 + 2/5?

Here's how to add

96
2
+
2
5

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

96/2 times 5

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

2/5 times 2

This gives us a new problem that looks like so:

480
10
+
4
10

Step 2

Since our denominators match, we can add the numerators.

480 + 4 = 484

That gives us an answer of

484
10

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:

484
10
÷ 2 =
242
5

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...

No good. 7 is larger than 5. So we're done reducing.

There you have it! Here's the final answer to 96/2 + 2/5

96
2
+
2
5
=
242
5
© 2014 Randy Tayler