math help

What is 55/55 + 2/12?

What is 55/55 + 2/12?

Here's how you add

55
55
+
2
12

Step 1

We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 55 by 12, and get 660, then we multiply 55 by 12 and get 660.

55/55 times 12

Do the same for the second term. We multiply 2 by 55, and get 110, then multiply 55 by 12 and get 660.

2/12 times 55

So now our fractions look like this:

660
660
+
110
660

Step 2

Since our denominators match, we can add the numerators.

660 + 110 = 770

Now we have an answer.

770
660

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

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:

770
660
÷ 2 =
385
330

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:

385
330
÷ 5 =
77
66

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:

77
66
÷ 11 =
7
6

Now, try the same number again.

No good. 11 is larger than 7. So we're done reducing.

Congratulations! Here's your final answer to 55/55 + 2/12

55
55
+
2
12
=
7
6
© 2014 Randy Tayler