math help

What is 6/88 + 1/6?

What is 6/88 + 1/6?

This is how we add

6
88
 +
1
6

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 6, and get 36, then we multiply 88 by 6 and get 528.

6/88 times 6

Now for the second term. You multiply 1 by 88, and get 88, then multiply 88 by 6 and get 528.

1/6 times 88

This gives us a new problem that looks like so:

36
528
 +
88
528

Step 2

Since our denominators match, we can add the numerators.

36 + 88 = 124

So what's the answer so far?

124
528

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:

124
528
 ÷ 2 =
62
264

So far so good... let's try to divide by that number again.

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

62
264
 ÷ 2 =
31
132

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. 37 is larger than 31. So we're done reducing.

And we're done! Here's the final answer to 6/88 + 1/6

6
88
 +
1
6
 =
31
132
© 2014 Randy Tayler

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