math help

What is 4/40 + 3/10?

What is 4/40 + 3/10?

Let's add

4
40
+
3
10

Step 1

Now we need to make our denominators match.

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

Multiply 3 by 4, and get 12, then we multiply 10 by 4 and get 40.

3/10 times 4

This gives us a new problem that looks like so:

4
40
+
12
40

Step 2

Since our denominators match, we can add the numerators.

4 + 12 = 16

That gives us an answer of

16
40

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:

16
40
÷ 2 =
8
20

Let's try dividing by that again...

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

8
20
÷ 2 =
4
10

Let's try dividing by that again...

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

4
10
÷ 2 =
2
5

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

No good. 3 is larger than 2. So we're done reducing.

There you have it! Here's the final answer to 4/40 + 3/10

4
40
+
3
10
=
2
5
© 2014 Randy Tayler