math help

What is 91/1 + 9/12?

What is 91/1 + 9/12?

Let's add

91
1
+
9
12

Step 1

We have to make sure the denominators are equal.

12 goes into 1 evenly, so we only need to multiply one term to get a common denominator.

Multiply 91 by 12, and get 1092, then we multiply 1 by 12 and get 12.

91/1 times 12

This gives us a new problem that looks like so:

1092
12
+
9
12

Step 2

Since our denominators match, we can add the numerators.

1092 + 9 = 1101

That gives us an answer of

1101
12

Step 3

Can this fraction be reduced?

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

No good. So next you try the next prime number, which is 3...

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

1101
12
÷ 3 =
367
4

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 5...

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

And we're done! Here's the final answer to 91/1 + 9/12

91
1
+
9
12
=
367
4
© 2014 Randy Tayler