math help

What is 60/60 + 8/9?

What is 60/60 + 8/9?

Here's how we add

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

60/60 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:

540
540
+
480
540

Step 2

Since our denominators match, we can add the numerators.

540 + 480 = 1020

That gives us an answer of

1020
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:

1020
540
÷ 2 =
510
270

So far so good... let's try to divide by that number again.

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

510
270
÷ 2 =
255
135

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

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

255
135
÷ 3 =
85
45

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 5...

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

85
45
÷ 5 =
17
9

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. 11 is larger than 9. So we're done reducing.

And we're done! Here's the final answer to 60/60 + 8/9

60
60
+
8
9
=
17
9
© 2014 Randy Tayler