math help

What is 12/1 + 9/12?

What is 12/1 + 9/12?

This is how to add

12
1
+
9
12

Step 1

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

Since 1 is evenly divided by 12, we can multiply just one term to get a common denominator.

Multiply 12 by 12, and get 144, then we multiply 1 by 12 and get 12.

12/1 times 12

The problem now has new fractions to add:

144
12
+
9
12

Step 2

Since our denominators match, we can add the numerators.

144 + 9 = 153

This yields the answer

153
12

Step 3

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

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

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

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

153
12
÷ 3 =
51
4

Now, try the same number again.

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 12/1 + 9/12

12
1
+
9
12
=
51
4
© 2014 Randy Tayler