math help

What is 70/51 + 4/6?

What is 70/51 + 4/6?

Here's how you add

70
51
 +
4
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 70 by 6, and get 420, then we multiply 51 by 6 and get 306.

70/51 times 6

Now for the second term. You multiply 4 by 51, and get 204, then multiply 51 by 6 and get 306.

4/6 times 51

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

420
306
 +
204
306

Step 2

Since our denominators match, we can add the numerators.

420 + 204 = 624

Answer:

624
306

Step 3

Now, do we need to simplify this fraction?

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

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

624
306
 ÷ 2 =
312
153

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...

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

312
153
 ÷ 3 =
104
51

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 51. So we're done reducing.

And we're done! Here's the final answer to 70/51 + 4/6

70
51
 +
4
6
 =
104
51
© 2014 Randy Tayler

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