math help

What is 6/88 + 4/12?

What is 6/88 + 4/12?

Here's how you add

6
88
 +
4
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 6 by 12, and get 72, then we multiply 88 by 12 and get 1056.

6/88 times 12

Do the same for the second term. We multiply 4 by 88, and get 352, then multiply 88 by 12 and get 1056.

4/12 times 88

The problem now has new fractions to add:

72
1056
 +
352
1056

Step 2

Since our denominators match, we can add the numerators.

72 + 352 = 424

The sum we get is

424
1056

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:

424
1056
 ÷ 2 =
212
528

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:

212
528
 ÷ 2 =
106
264

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:

106
264
 ÷ 2 =
53
132

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. 59 is larger than 53. So we're done reducing.

And we're done! Here's the final answer to 6/88 + 4/12

6
88
 +
4
12
 =
53
132
© 2014 Randy Tayler

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