math help

What is 6/88 + 6/9?

What is 6/88 + 6/9?

Here's how we add

6
88
 +
6
9

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 6 by 9, and get 54, then we multiply 88 by 9 and get 792.

6/88 times 9

Now for the second term. You multiply 6 by 88, and get 528, then multiply 88 by 9 and get 792.

6/9 times 88

This gives us a new problem that looks like so:

54
792
 +
528
792

Step 2

Since our denominators match, we can add the numerators.

54 + 528 = 582

So what's the answer so far?

582
792

Step 3

Can this fraction be reduced?

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

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

582
792
 ÷ 2 =
291
396

Now, try the same number again.

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

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

291
396
 ÷ 3 =
97
132

Now, try the same number again.

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...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

Nope. Try the next prime number, 67...

Nope. Try the next prime number, 71...

Nope. Try the next prime number, 73...

Nope. Try the next prime number, 79...

Nope. Try the next prime number, 83...

Nope. Try the next prime number, 89...

Nope. Try the next prime number, 97...

Nope. Try the next prime number, 101...

No good. 101 is larger than 97. So we're done reducing.

Congratulations! Here's your final answer to 6/88 + 6/9

6
88
 +
6
9
 =
97
132
© 2014 Randy Tayler

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