math help

What is 91/6 + 4/8?

What is 91/6 + 4/8?

Here's how we add

91
6
+
4
8

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 8, and get 728, then we multiply 6 by 8 and get 48.

91/6 times 8

Now for the second term. You multiply 4 by 6, and get 24, then multiply 6 by 8 and get 48.

4/8 times 6

This gives us a new problem that looks like so:

728
48
+
24
48

Step 2

Since our denominators match, we can add the numerators.

728 + 24 = 752

So what's the answer so far?

752
48

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:

752
48
÷ 2 =
376
24

Now, try the same number again.

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

376
24
÷ 2 =
188
12

Now, try the same number again.

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

188
12
÷ 2 =
94
6

Now, try the same number again.

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

94
6
÷ 2 =
47
3

Now, try the same number again.

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

Nope. Try the next prime number, 5...

No good. 5 is larger than 3. So we're done reducing.

Congratulations! Here's your final answer to 91/6 + 4/8

91
6
+
4
8
=
47
3
© 2014 Randy Tayler