math help

What is 22/60 + 2/9?

What is 22/60 + 2/9?

This is how you add

22
60
+
2
9

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 22 by 9, and get 198, then we multiply 60 by 9 and get 540.

22/60 times 9

Now for the second term. You multiply 2 by 60, and get 120, then multiply 60 by 9 and get 540.

2/9 times 60

This gives us a new problem that looks like so:

198
540
+
120
540

Step 2

Since our denominators match, we can add the numerators.

198 + 120 = 318

So what's the answer so far?

318
540

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:

318
540
÷ 2 =
159
270

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:

159
270
÷ 3 =
53
90

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 22/60 + 2/9

22
60
+
2
9
=
53
90
© 2014 Randy Tayler