math help

What is 32/1 + 9/12?

What is 32/1 + 9/12?

Here's how you add

32
1
+
9
12

Step 1

Now we need to make our denominators match.

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
+
9
12

Step 2

Since our denominators match, we can add the numerators.

384 + 9 = 393

The sum we get is

393
12

Step 3

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

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

Nope! So now we try the next greatest prime number, 3...

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

393
12
÷ 3 =
131
4

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 5...

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

There you have it! Here's the final answer to 32/1 + 9/12

32
1
+
9
12
=
131
4
© 2014 Randy Tayler