math help

What is 91/6 + 1/12?

What is 91/6 + 1/12?

Here's how you add

91
6
+
1
12

Step 1

We have to make sure the denominators are equal.

Since 6 is evenly divided by 12, we can multiply just one term to get a common denominator.

Multiply 91 by 2, and get 182, then we multiply 6 by 2 and get 12.

91/6 times 2

The problem now has new fractions to add:

182
12
+
1
12

Step 2

Since our denominators match, we can add the numerators.

182 + 1 = 183

The sum we get is

183
12

Step 3

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

To find out, we try dividing 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:

183
12
÷ 3 =
61
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 91/6 + 1/12

91
6
+
1
12
=
61
4
© 2014 Randy Tayler