math help

What is 60/60 + 8/11?

What is 60/60 + 8/11?

This is how to add

60
60
+
8
11

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 60 by 11, and get 660, then we multiply 60 by 11 and get 660.

60/60 times 11

Now for the second term. You multiply 8 by 60, and get 480, then multiply 60 by 11 and get 660.

8/11 times 60

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

660
660
+
480
660

Step 2

Since our denominators match, we can add the numerators.

660 + 480 = 1140

Answer:

1140
660

Step 3

Now, do we need to simplify this fraction?

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

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

1140
660
÷ 2 =
570
330

Now, try the same number again.

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

570
330
÷ 2 =
285
165

Now, try the same number again.

Nope. Try the next prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

285
165
÷ 3 =
95
55

Now, try the same number again.

Nope. Try the next prime number, 5...

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

95
55
÷ 5 =
19
11

Now, try the same number again.

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

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

Congratulations! Here's your final answer to 60/60 + 8/11

60
60
+
8
11
=
19
11
© 2014 Randy Tayler