math help

What is 30/50 + 4/5?

What is 30/50 + 4/5?

Here's how you add

30
50
+
4
5

Step 1

We have to make sure the denominators are equal.

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

Multiply 4 by 10, and get 40, then we multiply 5 by 10 and get 50.

4/5 times 10

This gives us a new problem that looks like so:

30
50
+
40
50

Step 2

Since our denominators match, we can add the numerators.

30 + 40 = 70

That gives us an answer of

70
50

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:

70
50
÷ 2 =
35
25

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 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:

35
25
÷ 5 =
7
5

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. 7 is larger than 5. So we're done reducing.

And we're done! Here's the final answer to 30/50 + 4/5

30
50
+
4
5
=
7
5
© 2014 Randy Tayler