math help

What is 32/1 + 3/12?

What is 32/1 + 3/12?

This is how to add

32
1
+
3
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

So now our fractions look like this:

384
12
+
3
12

Step 2

Since our denominators match, we can add the numerators.

384 + 3 = 387

So the answer is:

387
12

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

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:

387
12
÷ 3 =
129
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 + 3/12

32
1
+
3
12
=
129
4
© 2014 Randy Tayler