math help

What is 60/60 - 1/9?

What is 60/60 - 1/9?

Here's how to subtract 1/9 from 60/60:

60
60
1
9

Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. 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 9, and get 540.

Then we multiply 1 by 60, and get 60.

Next we give both terms new denominators -- 60 × 9 = 540.

So now our fractions look like this:

540
540
60
540

Step 2

Since our denominators match, we can subtract the numerators.

540 − 60 = 480

So the answer is:

480
540

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:

480
540
÷ 2 =
240
270

Let's try dividing by 2 again...

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

240
270
÷ 2 =
120
135

Let's try dividing by 2 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:

120
135
÷ 3 =
40
45

Let's try dividing by 3 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:

40
45
÷ 5 =
8
9

Let's try dividing by 5 again...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

No good. 11 is larger than 8. So we're done reducing.

There you have it! The final answer is:
60
60
1
9
=
8
9