math help

What is 60/48 + 1/6?

What is 60/48 + 1/6?

This is how we add

60
48
+
1
6

Step 1

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

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

Multiply 1 by 8, and get 8, then we multiply 6 by 8 and get 48.

1/6 times 8

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

60
48
+
8
48

Step 2

Since our denominators match, we can add the numerators.

60 + 8 = 68

Answer:

68
48

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
48
÷ 2 =
34
24

Now, try the same number again.

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

34
24
÷ 2 =
17
12

Now, try the same number again.

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...

No good. 13 is larger than 12. So we're done reducing.

Congratulations! Here's your final answer to 60/48 + 1/6

60
48
+
1
6
=
17
12
© 2014 Randy Tayler