math help

What is 55/55 + 2/6?

What is 55/55 + 2/6?

This is how to add

55
55
 +
2
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 55 by 6, and get 330, then we multiply 55 by 6 and get 330.

55/55 times 6

Do the same for the second term. We multiply 2 by 55, and get 110, then multiply 55 by 6 and get 330.

2/6 times 55

The problem now has new fractions to add:

330
330
 +
110
330

Step 2

Since our denominators match, we can add the numerators.

330 + 110 = 440

The sum we get is

440
330

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:

440
330
 ÷ 2 =
220
165

Now, try the same number again.

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

220
165
 ÷ 5 =
44
33

Now, try the same number again.

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

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

44
33
 ÷ 11 =
4
3

Now, try the same number again.

No good. 11 is larger than 4. So we're done reducing.

Congratulations! Here's your final answer to 55/55 + 2/6

55
55
 +
2
6
 =
4
3
© 2014 Randy Tayler

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