math help

What is 4/40 + 1/10?

What is 4/40 + 1/10?

This is how to add

4
40
+
1
10

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

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

Multiply 1 by 4, and get 4, then we multiply 10 by 4 and get 40.

1/10 times 4

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

4
40
+
4
40

Step 2

Since our denominators match, we can add the numerators.

4 + 4 = 8

That gives us the sum, which is

8
40

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:

8
40
÷ 2 =
4
20

Now, try the same number again.

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

4
20
÷ 2 =
2
10

Now, try the same number again.

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

2
10
÷ 2 =
1
5

Now, try the same number again.

No good. 2 is larger than 1. So we're done reducing.

Congratulations! Here's your final answer to 4/40 + 1/10

4
40
+
1
10
=
1
5
© 2014 Randy Tayler