math help

What is 36/4 + 6/12?

What is 36/4 + 6/12?

This is how you add

36
4
+
6
12

Step 1

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

Since 4 is evenly divided by 12, we can multiply just one term to get a common denominator.

Multiply 36 by 3, and get 108, then we multiply 4 by 3 and get 12.

36/4 times 3

The problem now has new fractions to add:

108
12
+
6
12

Step 2

Since our denominators match, we can add the numerators.

108 + 6 = 114

This yields the answer

114
12

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing it by 2...

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

114
12
÷ 2 =
57
6

Now, try the same number again.

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

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

57
6
÷ 3 =
19
2

Now, try the same number again.

No good. 3 is larger than 2. So we're done reducing.

Congratulations! Here's your final answer to 36/4 + 6/12

36
4
+
6
12
=
19
2
© 2014 Randy Tayler