math help

What is 32/1 + 1/12?

What is 32/1 + 1/12?

Here's how we add

32
1
+
1
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 32 by 12, and get 384, then we multiply 1 by 12 and get 12.

32/1 times 12

The problem now has new fractions to add:

384
12
+
1
12

Step 2

Since our denominators match, we can add the numerators.

384 + 1 = 385

The sum we get is

385
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...

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 32/1 + 1/12

32
1
+
1
12
=
385
12
© 2014 Randy Tayler