math help

What is 9/60 + 1/11?

What is 9/60 + 1/11?

Here's how we add

9
60
+
1
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 9 by 11, and get 99, then we multiply 60 by 11 and get 660.

9/60 times 11

Now for the second term. You multiply 1 by 60, and get 60, then multiply 60 by 11 and get 660.

1/11 times 60

This gives us a new problem that looks like so:

99
660
+
60
660

Step 2

Since our denominators match, we can add the numerators.

99 + 60 = 159

That gives us an answer of

159
660

Step 3

Can this fraction be reduced?

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

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:

159
660
÷ 3 =
53
220

Let's try dividing by that again...

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

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...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

Nope! So now we try the next greatest prime number, 31...

Nope! So now we try the next greatest prime number, 37...

Nope! So now we try the next greatest prime number, 41...

Nope! So now we try the next greatest prime number, 43...

Nope! So now we try the next greatest prime number, 47...

Nope! So now we try the next greatest prime number, 53...

Nope! So now we try the next greatest prime number, 59...

No good. 59 is larger than 53. So we're done reducing.

There you have it! Here's the final answer to 9/60 + 1/11

9
60
+
1
11
=
53
220
© 2014 Randy Tayler