math help

What is 91/6 + 7/12?

What is 91/6 + 7/12?

Here's how we add

91
6
+
7
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

So now our fractions look like this:

182
12
+
7
12

Step 2

Since our denominators match, we can add the numerators.

182 + 7 = 189

Now we have an answer.

189
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...

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:

189
12
÷ 3 =
63
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 + 7/12

91
6
+
7
12
=
63
4
© 2014 Randy Tayler