math help

What is 95/29 + 4/6?

What is 95/29 + 4/6?

Let's add

95
29
 +
4
6

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 6, and get 570, then we multiply 29 by 6 and get 174.

95/29 times 6

Do the same for the second term. We multiply 4 by 29, and get 116, then multiply 29 by 6 and get 174.

4/6 times 29

The problem now has new fractions to add:

570
174
 +
116
174

Step 2

Since our denominators match, we can add the numerators.

570 + 116 = 686

The sum we get is

686
174

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:

686
174
 ÷ 2 =
343
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 95/29 + 4/6

95
29
 +
4
6
 =
343
87
© 2014 Randy Tayler

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