math help

What is 92/85 + 96/2?

What is 92/85 + 96/2?

This is how you add

92
85
+
96
2

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 92 by 2, and get 184, then we multiply 85 by 2 and get 170.

92/85 times 2

Now for the second term. You multiply 96 by 85, and get 8160, then multiply 85 by 2 and get 170.

96/2 times 85

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

184
170
+
8160
170

Step 2

Since our denominators match, we can add the numerators.

184 + 8160 = 8344

Answer:

8344
170

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:

8344
170
÷ 2 =
4172
85

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. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. So next you try the next prime number, which is 29...

No good. So next you try the next prime number, which is 31...

No good. So next you try the next prime number, which is 37...

No good. So next you try the next prime number, which is 41...

No good. So next you try the next prime number, which is 43...

No good. So next you try the next prime number, which is 47...

No good. So next you try the next prime number, which is 53...

No good. So next you try the next prime number, which is 59...

No good. So next you try the next prime number, which is 61...

No good. So next you try the next prime number, which is 67...

No good. So next you try the next prime number, which is 71...

No good. So next you try the next prime number, which is 73...

No good. So next you try the next prime number, which is 79...

No good. So next you try the next prime number, which is 83...

No good. So next you try the next prime number, which is 89...

No good. 89 is larger than 85. So we're done reducing.

And we're done! Here's the final answer to 92/85 + 96/2

92
85
+
96
2
=
4172
85
© 2014 Randy Tayler