math help

What is 63/58 + 10/12?

What is 63/58 + 10/12?

This is how we add

63
58
 +
10
12

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 63 by 12, and get 756, then we multiply 58 by 12 and get 696.

63/58 times 12

Now for the second term. You multiply 10 by 58, and get 580, then multiply 58 by 12 and get 696.

10/12 times 58

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

756
696
 +
580
696

Step 2

Since our denominators match, we can add the numerators.

756 + 580 = 1336

That gives us the sum, which is

1336
696

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:

1336
696
 ÷ 2 =
668
348

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:

668
348
 ÷ 2 =
334
174

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:

334
174
 ÷ 2 =
167
87

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. 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. So next you try the next prime number, which is 59...

No good. So next you try the next prime number, which is 61...

No good. So next you try the next prime number, which is 67...

No good. So next you try the next prime number, which is 71...

No good. So next you try the next prime number, which is 73...

No good. So next you try the next prime number, which is 79...

No good. So next you try the next prime number, which is 83...

No good. So next you try the next prime number, which is 89...

No good. 89 is larger than 87. So we're done reducing.

And we're done! Here's the final answer to 63/58 + 10/12

63
58
 +
10
12
 =
167
87
© 2014 Randy Tayler

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