math help

What is 60/60 + 4/11?

What is 60/60 + 4/11?

This is how you add

60
60
+
4
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 4 by 60, and get 240, then multiply 60 by 11 and get 660.

4/11 times 60

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

660
660
+
240
660

Step 2

Since our denominators match, we can add the numerators.

660 + 240 = 900

That gives us the sum, which is

900
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:

900
660
÷ 2 =
450
330

Let's try dividing by that again...

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

450
330
÷ 2 =
225
165

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

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

225
165
÷ 3 =
75
55

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 5...

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

75
55
÷ 5 =
15
11

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

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

There you have it! Here's the final answer to 60/60 + 4/11

60
60
+
4
11
=
15
11
© 2014 Randy Tayler