math help

What is 55/55 + 2/11?

What is 55/55 + 2/11?

Here's how we add

55
55
+
2
11

Step 1

Now we need to make our denominators match.

55 goes into 11 evenly, so we only need to multiply one term to get a common denominator.

Multiply 2 by 5, and get 10, then we multiply 11 by 5 and get 55.

2/11 times 5

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

55
55
+
10
55

Step 2

Since our denominators match, we can add the numerators.

55 + 10 = 65

Answer:

65
55

Step 3

Now, do we need to simplify this fraction?

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

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

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

65
55
÷ 5 =
13
11

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

No good. 13 is larger than 11. So we're done reducing.

There you have it! Here's the final answer to 55/55 + 2/11

55
55
+
2
11
=
13
11
© 2014 Randy Tayler