math help

What is 55/55 + 6/7?

What is 55/55 + 6/7?

Here's how we add

55
55
+
6
7

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 7, and get 385, then we multiply 55 by 7 and get 385.

55/55 times 7

Now for the second term. You multiply 6 by 55, and get 330, then multiply 55 by 7 and get 385.

6/7 times 55

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

385
385
+
330
385

Step 2

Since our denominators match, we can add the numerators.

385 + 330 = 715

Answer:

715
385

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:

715
385
÷ 5 =
143
77

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...

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

143
77
÷ 11 =
13
7

Let's try dividing by that again...

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

There you have it! Here's the final answer to 55/55 + 6/7

55
55
+
6
7
=
13
7
© 2014 Randy Tayler