math help

What is 60/60 + 1/11?

What is 60/60 + 1/11?

This is how to add

60
60
+
1
11

Step 1

We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

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

60/60 times 11

Do the same for the second term. We multiply 1 by 60, and get 60, then multiply 60 by 11 and get 660.

1/11 times 60

So now our fractions look like this:

660
660
+
60
660

Step 2

Since our denominators match, we can add the numerators.

660 + 60 = 720

Now we have an answer.

720
660

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

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

720
660
÷ 2 =
360
330

Let's try dividing by that again...

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

360
330
÷ 2 =
180
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:

180
165
÷ 3 =
60
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:

60
55
÷ 5 =
12
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 12. So we're done reducing.

There you have it! Here's the final answer to 60/60 + 1/11

60
60
+
1
11
=
12
11
© 2014 Randy Tayler