math help

What is 48/30 + 1/6?

What is 48/30 + 1/6?

Let's add

48
30
 +
1
6

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

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

Multiply 1 by 5, and get 5, then we multiply 6 by 5 and get 30.

1/6 times 5

This gives us a new problem that looks like so:

48
30
 +
5
30

Step 2

Since our denominators match, we can add the numerators.

48 + 5 = 53

So what's the answer so far?

53
30

Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

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

Congratulations! Here's your final answer to 48/30 + 1/6

48
30
 +
1
6
 =
53
30
© 2014 Randy Tayler

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