math help

What is 22/22 + 6/12?

What is 22/22 + 6/12?

This is how to add

22
22
 +
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 22 by 12, and get 264, then we multiply 22 by 12 and get 264.

22/22 times 12

Do the same for the second term. We multiply 6 by 22, and get 132, then multiply 22 by 12 and get 264.

6/12 times 22

The problem now has new fractions to add:

264
264
 +
132
264

Step 2

Since our denominators match, we can add the numerators.

264 + 132 = 396

The sum we get is

396
264

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:

396
264
 ÷ 2 =
198
132

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:

198
132
 ÷ 2 =
99
66

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...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

99
66
 ÷ 3 =
33
22

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 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...

Are both the numerator and the denominator evenly divisible by 11? Yes! So we reduce it:

33
22
 ÷ 11 =
3
2

So far so good... let's try to divide by that number again.

No good. 11 is larger than 3. So we're done reducing.

And we're done! Here's the final answer to 22/22 + 6/12

22
22
 +
6
12
 =
3
2
© 2014 Randy Tayler

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