math help

What is 60/60 + 2/11?

What is 60/60 + 2/11?

Here's how to add

60
60
+
2
11

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now 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 2 by 60, and get 120, then multiply 60 by 11 and get 660.

2/11 times 60

This gives us a new problem that looks like so:

660
660
+
120
660

Step 2

Since our denominators match, we can add the numerators.

660 + 120 = 780

So what's the answer so far?

780
660

Step 3

Can this fraction be reduced?

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

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

780
660
÷ 2 =
390
330

Now, try the same number again.

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

390
330
÷ 2 =
195
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:

195
165
÷ 3 =
65
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:

65
55
÷ 5 =
13
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 + 2/11

60
60
+
2
11
=
13
11
© 2014 Randy Tayler