math help

What is 91/6 + 4/12?

What is 91/6 + 4/12?

Let's add

91
6
+
4
12

Step 1

We have to make sure the denominators are equal.

12 goes into 6 evenly, so we only need to multiply 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

This gives us a new problem that looks like so:

182
12
+
4
12

Step 2

Since our denominators match, we can add the numerators.

182 + 4 = 186

That gives us an answer of

186
12

Step 3

Can this fraction be reduced?

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

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

186
12
÷ 2 =
93
6

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 3...

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

93
6
÷ 3 =
31
2

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

No good. 3 is larger than 2. So we're done reducing.

And we're done! Here's the final answer to 91/6 + 4/12

91
6
+
4
12
=
31
2
© 2014 Randy Tayler