math help

What is 97/75 + 1/6?

What is 97/75 + 1/6?

Here's how we add

97
75
 +
1
6

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 97 by 6, and get 582, then we multiply 75 by 6 and get 450.

97/75 times 6

Now for the second term. You multiply 1 by 75, and get 75, then multiply 75 by 6 and get 450.

1/6 times 75

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

582
450
 +
75
450

Step 2

Since our denominators match, we can add the numerators.

582 + 75 = 657

Answer:

657
450

Step 3

Now, do we need to simplify this fraction?

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

No good. So next you try the next prime number, which is 3...

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

657
450
 ÷ 3 =
219
150

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

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

219
150
 ÷ 3 =
73
50

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 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. 53 is larger than 50. So we're done reducing.

And we're done! Here's the final answer to 97/75 + 1/6

97
75
 +
1
6
 =
73
50
© 2014 Randy Tayler

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