math help

What is 48/30 + 2/3?

What is 48/30 + 2/3?

This is how to add

48
30
+
2
3

Step 1

We have to make sure the denominators are equal.

30 goes into 3 evenly, so we only need to multiply one term to get a common denominator.

Multiply 2 by 10, and get 20, then we multiply 3 by 10 and get 30.

2/3 times 10

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

48
30
+
20
30

Step 2

Since our denominators match, we can add the numerators.

48 + 20 = 68

Answer:

68
30

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:

68
30
÷ 2 =
34
15

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...

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. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. 17 is larger than 15. So we're done reducing.

And we're done! Here's the final answer to 48/30 + 2/3

48
30
+
2
3
=
34
15
© 2014 Randy Tayler