math help

What is 55/55 + 1/8?

What is 55/55 + 1/8?

Here's how to add

55
55
+
1
8

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 8, and get 440, then we multiply 55 by 8 and get 440.

55/55 times 8

Now for the second term. You multiply 1 by 55, and get 55, then multiply 55 by 8 and get 440.

1/8 times 55

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

440
440
+
55
440

Step 2

Since our denominators match, we can add the numerators.

440 + 55 = 495

That gives us the sum, which is

495
440

Step 3

Now, do we need to simplify this fraction?

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

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

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

495
440
÷ 5 =
99
88

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

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

99
88
÷ 11 =
9
8

So far so good... let's try to divide by that number again.

No good. 11 is larger than 9. So we're done reducing.

And we're done! Here's the final answer to 55/55 + 1/8

55
55
+
1
8
=
9
8
© 2014 Randy Tayler