math help

What is 60/48 + 1/12?

What is 60/48 + 1/12?

This is how you add

60
48
+
1
12

Step 1

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

48 goes into 12 evenly, so we only need to multiply one term to get a common denominator.

Multiply 1 by 4, and get 4, then we multiply 12 by 4 and get 48.

1/12 times 4

This gives us a new problem that looks like so:

60
48
+
4
48

Step 2

Since our denominators match, we can add the numerators.

60 + 4 = 64

That gives us an answer of

64
48

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:

64
48
÷ 2 =
32
24

Now, try the same number again.

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

32
24
÷ 2 =
16
12

Now, try the same number again.

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

16
12
÷ 2 =
8
6

Now, try the same number again.

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

8
6
÷ 2 =
4
3

Now, try the same number again.

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

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

No good. 5 is larger than 4. So we're done reducing.

Congratulations! Here's your final answer to 60/48 + 1/12

60
48
+
1
12
=
4
3
© 2014 Randy Tayler