math help

What is 96/2 + 6/11?

What is 96/2 + 6/11?

This is how we add

96
2
+
6
11

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 96 by 11, and get 1056, then we multiply 2 by 11 and get 22.

96/2 times 11

Now for the second term. You multiply 6 by 2, and get 12, then multiply 2 by 11 and get 22.

6/11 times 2

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

1056
22
+
12
22

Step 2

Since our denominators match, we can add the numerators.

1056 + 12 = 1068

Answer:

1068
22

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:

1068
22
÷ 2 =
534
11

Now, try the same number again.

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

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

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

No good. 13 is larger than 11. So we're done reducing.

Congratulations! Here's your final answer to 96/2 + 6/11

96
2
+
6
11
=
534
11
© 2014 Randy Tayler