math help

What is 95/29 + 6/12?

What is 95/29 + 6/12?

This is how you add

95
29
 +
6
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 95 by 12, and get 1140, then we multiply 29 by 12 and get 348.

95/29 times 12

Do the same for the second term. We multiply 6 by 29, and get 174, then multiply 29 by 12 and get 348.

6/12 times 29

The problem now has new fractions to add:

1140
348
 +
174
348

Step 2

Since our denominators match, we can add the numerators.

1140 + 174 = 1314

The sum we get is

1314
348

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:

1314
348
 ÷ 2 =
657
174

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:

657
174
 ÷ 3 =
219
58

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...

No good. 59 is larger than 58. So we're done reducing.

Congratulations! Here's your final answer to 95/29 + 6/12

95
29
 +
6
12
 =
219
58
© 2014 Randy Tayler

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