math help

What is 91/6 + 10/12?

What is 91/6 + 10/12?

Here's how to add

91
6
+
10
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

We now have a new problem, that looks like this:

182
12
+
10
12

Step 2

Since our denominators match, we can add the numerators.

182 + 10 = 192

That gives us the sum, which is

192
12

Step 3

Now, do we need to simplify this fraction?

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

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

192
12
÷ 2 =
96
6

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

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

96
6
÷ 2 =
48
3

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:

48
3
÷ 3 =
16
1

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

No good. 3 is larger than 1. So we're done reducing.

And we're done! Here's the final answer to 91/6 + 10/12

91
6
+
10
12
=
16
1
= 16
© 2014 Randy Tayler

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