math help

What is 30/50 + 2/5?

What is 30/50 + 2/5?

This is how we add

30
50
+
2
5

Step 1

Now we need to make our denominators match.

50 goes into 5 evenly, so we only need to multiply one term to get a common denominator.

Multiply 2 by 10, and get 20, then we multiply 5 by 10 and get 50.

2/5 times 10

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

30
50
+
20
50

Step 2

Since our denominators match, we can add the numerators.

30 + 20 = 50

That gives us the sum, which is

50
50

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:

50
50
÷ 2 =
25
25

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...

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

25
25
÷ 5 =
5
5

Let's try dividing by that again...

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

5
5
÷ 5 =
1
1

Let's try dividing by that again...

No good. 5 is larger than 1. So we're done reducing.

There you have it! Here's the final answer to 30/50 + 2/5

30
50
+
2
5
=
1
1
= 1
© 2014 Randy Tayler