math help

What is 32/1 + 10/12?

What is 32/1 + 10/12?

This is how to add

32
1
+
10
12

Step 1

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

12 goes into 1 evenly, so we only need to multiply 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

We now have a new problem, that looks like this:

384
12
+
10
12

Step 2

Since our denominators match, we can add the numerators.

384 + 10 = 394

That gives us the sum, which is

394
12

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

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

394
12
÷ 2 =
197
6

Now, try the same number again.

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

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

No good. 7 is larger than 6. So we're done reducing.

Congratulations! Here's your final answer to 32/1 + 10/12

32
1
+
10
12
=
197
6
© 2014 Randy Tayler

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