Step 1

We still have different denominators (bottom numbers), though, for this reason we need to obtain a typical denominator. This will certainly make the bottom numbers match. Main point the denominators with each other first. Now, main point each numerator by the other term\"s denominator.

You are watching: 1 * 10^-9

Now us multiply 1 by 10, and get 10, then we multiply 9 through 10 and get 90.

\"*\"

Now for the 2nd term. You multiply 9 through 9, and also get 81, then multiply 9 by 10 and get 90.

\"*\"

This provides us a brand-new problem that looks choose so:

10
90
+81
90

Step 2

Since our denominators match, us can include the numerators.

10 + 81 = 91

So what\"s the answer for this reason far?

91
90

Step 3

Can this fraction be reduced?

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

No good. So following you shot the next prime number, i m sorry is 3...

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

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

No good. So next you try the next prime number, i beg your pardon is 11...

No good. So following you try the next prime number, i m sorry is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you shot the following prime number, i m sorry is 19...

No good. So next you try the next prime number, i m sorry is 23...

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

No good. So following you shot the following prime number, i m sorry is 31...

No good. So following you shot the next prime number, i m sorry is 37...

No good. So following you try the following prime number, i beg your pardon is 41...

No good. So following you try the following prime number, i beg your pardon is 43...

No good. So next you try the next prime number, i beg your pardon is 47...

No good. So following you shot the following prime number, which is 53...

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

No good. So following you try the next prime number, i m sorry is 61...

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

No good. So next you try the following prime number, i beg your pardon is 71...

No good. So next you shot the following prime number, i m sorry is 73...

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

No good. So next you shot the following prime number, i m sorry is 83...

No good. So following you shot the following prime number, i m sorry is 89...

No good. So next you try the next prime number, which is 97...

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No good. 97 is bigger than 91. Therefore we\"re done reducing.

And we\"re done! Here\"s the final answer to 1/9 + 9/101
9
+9
10
=91
90

© 2014 Randy Tayler