math help

What is 63/58 + 9/12?

What is 63/58 + 9/12?

This is how you add

63
58
 +
9
12

Step 1

Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator.

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

63/58 times 12

Do the same for the second term. We multiply 9 by 58, and get 522, then multiply 58 by 12 and get 696.

9/12 times 58

The problem now has new fractions to add:

756
696
 +
522
696

Step 2

Since our denominators match, we can add the numerators.

756 + 522 = 1278

The sum we get is

1278
696

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing it by 2...

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

1278
696
 ÷ 2 =
639
348

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:

639
348
 ÷ 3 =
213
116

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...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

Nope. Try the next prime number, 67...

Nope. Try the next prime number, 71...

Nope. Try the next prime number, 73...

Nope. Try the next prime number, 79...

Nope. Try the next prime number, 83...

Nope. Try the next prime number, 89...

Nope. Try the next prime number, 97...

Nope. Try the next prime number, 101...

Nope. Try the next prime number, 103...

Nope. Try the next prime number, 107...

Nope. Try the next prime number, 109...

Nope. Try the next prime number, 113...

Nope. Try the next prime number, 127...

No good. 127 is larger than 116. So we're done reducing.

Congratulations! Here's your final answer to 63/58 + 9/12

63
58
 +
9
12
 =
213
116
© 2014 Randy Tayler

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