math help

What is 91/6 + 5/12?

What is 91/6 + 5/12?

This is how you add

91
6
+
5
12

Step 1

Now we need to make our denominators match.

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
+
5
12

Step 2

Since our denominators match, we can add the numerators.

182 + 5 = 187

This yields the answer

187
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...

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

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

No good. 13 is larger than 12. So we're done reducing.

There you have it! Here's the final answer to 91/6 + 5/12

91
6
+
5
12
=
187
12
© 2014 Randy Tayler