math help

What is 5/100 + 4/10?

What is 5/100 + 4/10?

Here's how to add

5
100
+
4
10

Step 1

We have to make sure the denominators are equal.

100 goes into 10 evenly, so we only need to multiply one term to get a common denominator.

Multiply 4 by 10, and get 40, then we multiply 10 by 10 and get 100.

4/10 times 10

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

5
100
+
40
100

Step 2

Since our denominators match, we can add the numerators.

5 + 40 = 45

That gives us the sum, which is

45
100

Step 3

Now, do we need to simplify this fraction?

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

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...

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

45
100
÷ 5 =
9
20

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 7...

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

No good. 11 is larger than 9. So we're done reducing.

And we're done! Here's the final answer to 5/100 + 4/10

5
100
+
4
10
=
9
20
© 2014 Randy Tayler