math help

What is 56/60 + 8/9?

What is 56/60 + 8/9?

Here's how to add

56
60
+
8
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 56 by 9, and get 504, then we multiply 60 by 9 and get 540.

56/60 times 9

Now for the second term. You multiply 8 by 60, and get 480, then multiply 60 by 9 and get 540.

8/9 times 60

This gives us a new problem that looks like so:

504
540
+
480
540

Step 2

Since our denominators match, we can add the numerators.

504 + 480 = 984

So what's the answer so far?

984
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:

984
540
÷ 2 =
492
270

Now, try the same number again.

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

492
270
÷ 2 =
246
135

Now, try the same number again.

Nope. Try the next prime number, 3...

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

246
135
÷ 3 =
82
45

Now, try the same number again.

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

No good. 47 is larger than 45. So we're done reducing.

Congratulations! Here's your final answer to 56/60 + 8/9

56
60
+
8
9
=
82
45
© 2014 Randy Tayler