math help

What is 48/30 + 5/6?

What is 48/30 + 5/6?

Here's how you add

48
30
+
5
6

Step 1

We have to make sure the denominators are equal.

30 goes into 6 evenly, so we only need to multiply one term to get a common denominator.

Multiply 5 by 5, and get 25, then we multiply 6 by 5 and get 30.

5/6 times 5

This gives us a new problem that looks like so:

48
30
+
25
30

Step 2

Since our denominators match, we can add the numerators.

48 + 25 = 73

That gives us an answer of

73
30

Step 3

Can this fraction be reduced?

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...

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. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. So next you try the next prime number, which is 29...

No good. So next you try the next prime number, which is 31...

No good. 31 is larger than 30. So we're done reducing.

And we're done! Here's the final answer to 48/30 + 5/6

48
30
+
5
6
=
73
30
© 2014 Randy Tayler