math help

What is 91/6 + 3/9?

What is 91/6 + 3/9?

Here's how we add

91
6
+
3
9

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 91 by 9, and get 819, then we multiply 6 by 9 and get 54.

91/6 times 9

Now for the second term. You multiply 3 by 6, and get 18, then multiply 6 by 9 and get 54.

3/9 times 6

This gives us a new problem that looks like so:

819
54
+
18
54

Step 2

Since our denominators match, we can add the numerators.

819 + 18 = 837

So what's the answer so far?

837
54

Step 3

Can this fraction be reduced?

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

Nope. Try the next prime number, 3...

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

837
54
÷ 3 =
279
18

Now, try the same number again.

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

279
18
÷ 3 =
93
6

Now, try the same number again.

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

93
6
÷ 3 =
31
2

Now, try the same number again.

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

Congratulations! Here's your final answer to 91/6 + 3/9

91
6
+
3
9
=
31
2
© 2014 Randy Tayler