math help

What is 60/60 + 4/7?

What is 60/60 + 4/7?

Here's how you add

60
60
+
4
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 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 4 by 60, and get 240, then multiply 60 by 7 and get 420.

4/7 times 60

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

420
420
+
240
420

Step 2

Since our denominators match, we can add the numerators.

420 + 240 = 660

Answer:

660
420

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:

660
420
÷ 2 =
330
210

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

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

330
210
÷ 2 =
165
105

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 3...

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

165
105
÷ 3 =
55
35

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 5...

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

55
35
÷ 5 =
11
7

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...

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

And we're done! Here's the final answer to 60/60 + 4/7

60
60
+
4
7
=
11
7
© 2014 Randy Tayler