math help

What is 96/2 + 10/11?

What is 96/2 + 10/11?

Here's how to add

96
2
+
10
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 10 by 2, and get 20, then multiply 2 by 11 and get 22.

10/11 times 2

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

1056
22
+
20
22

Step 2

Since our denominators match, we can add the numerators.

1056 + 20 = 1076

That gives us the sum, which is

1076
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:

1076
22
÷ 2 =
538
11

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...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

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

And we're done! Here's the final answer to 96/2 + 10/11

96
2
+
10
11
=
538
11
© 2014 Randy Tayler

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