math help

What is 30/50 + 1/2?

What is 30/50 + 1/2?

This is how to add

30
50
+
1
2

Step 1

We have to make sure the denominators are equal.

50 goes into 2 evenly, so we only need to multiply one term to get a common denominator.

Multiply 1 by 25, and get 25, then we multiply 2 by 25 and get 50.

1/2 times 25

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

30
50
+
25
50

Step 2

Since our denominators match, we can add the numerators.

30 + 25 = 55

Answer:

55
50

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:

55
50
÷ 5 =
11
10

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 10. So we're done reducing.

And we're done! Here's the final answer to 30/50 + 1/2

30
50
+
1
2
=
11
10
© 2014 Randy Tayler