math help

What is 99/7 + 8/9?

What is 99/7 + 8/9?

Here's how we add

99
7
+
8
9

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 99 by 9, and get 891, then we multiply 7 by 9 and get 63.

99/7 times 9

Now for the second term. You multiply 8 by 7, and get 56, then multiply 7 by 9 and get 63.

8/9 times 7

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

891
63
+
56
63

Step 2

Since our denominators match, we can add the numerators.

891 + 56 = 947

Answer:

947
63

Step 3

Now, do we need to simplify this fraction?

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

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

Nope! So now we try the next greatest prime number, 31...

Nope! So now we try the next greatest prime number, 37...

Nope! So now we try the next greatest prime number, 41...

Nope! So now we try the next greatest prime number, 43...

Nope! So now we try the next greatest prime number, 47...

Nope! So now we try the next greatest prime number, 53...

Nope! So now we try the next greatest prime number, 59...

Nope! So now we try the next greatest prime number, 61...

Nope! So now we try the next greatest prime number, 67...

No good. 67 is larger than 63. So we're done reducing.

There you have it! Here's the final answer to 99/7 + 8/9

99
7
+
8
9
=
947
63
© 2014 Randy Tayler