math help

What is 63/58 + 6/12?

What is 63/58 + 6/12?

This is how to add

63
58
 +
6
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 6 by 58, and get 348, then multiply 58 by 12 and get 696.

6/12 times 58

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

756
696
 +
348
696

Step 2

Since our denominators match, we can add the numerators.

756 + 348 = 1104

Answer:

1104
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:

1104
696
 ÷ 2 =
552
348

Now, try the same number again.

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

552
348
 ÷ 2 =
276
174

Now, try the same number again.

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

276
174
 ÷ 2 =
138
87

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:

138
87
 ÷ 3 =
46
29

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...

No good. 31 is larger than 29. So we're done reducing.

Congratulations! Here's your final answer to 63/58 + 6/12

63
58
 +
6
12
 =
46
29
© 2014 Randy Tayler

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