math help

What is 60/60 + 6/7?

What is 60/60 + 6/7?

Here's how to add

60
60
+
6
7

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 7, and get 420, then we multiply 60 by 7 and get 420.

60/60 times 7

Now for the second term. You multiply 6 by 60, and get 360, then multiply 60 by 7 and get 420.

6/7 times 60

This gives us a new problem that looks like so:

420
420
+
360
420

Step 2

Since our denominators match, we can add the numerators.

420 + 360 = 780

So what's the answer so far?

780
420

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
420
÷ 2 =
390
210

Now, try the same number again.

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

390
210
÷ 2 =
195
105

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
105
÷ 3 =
65
35

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
35
÷ 5 =
13
7

Now, try the same number again.

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

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

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

Congratulations! Here's your final answer to 60/60 + 6/7

60
60
+
6
7
=
13
7
© 2014 Randy Tayler