math help

What is 55/55 + 2/3?

What is 55/55 + 2/3?

This is how we add

55
55
+
2
3

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 55 by 3, and get 165, then we multiply 55 by 3 and get 165.

55/55 times 3

Now for the second term. You multiply 2 by 55, and get 110, then multiply 55 by 3 and get 165.

2/3 times 55

We now have a new problem, that looks like this:

165
165
+
110
165

Step 2

Since our denominators match, we can add the numerators.

165 + 110 = 275

Answer:

275
165

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

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:

275
165
÷ 5 =
55
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:

55
33
÷ 11 =
5
3

Now, try the same number again.

No good. 11 is larger than 5. So we're done reducing.

Congratulations! Here's your final answer to 55/55 + 2/3

55
55
+
2
3
=
5
3
© 2014 Randy Tayler