math help

What is 9/60 - 3/10?

What is 9/60 - 3/10?

Here's how to subtract 3/10 from 9/60:

9
60
3
10

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 9 by 10, and get 90.

Then we multiply 3 by 60, and get 180.

Next we give both terms new denominators -- 60 × 10 = 600.

So now our fractions look like this:

90
600
180
600

Step 2

Since our denominators match, we can subtract the numerators.

90 − 180 = -90

So the answer is:

-90
600

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:

-90
600
÷ 2 =
-45
300

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:

-45
300
÷ 3 =
-15
100

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:

-15
100
÷ 5 =
-3
20

Let's try dividing by 5 again...

No good. 5 is larger than -3. So we're done reducing.

There you have it! The final answer is:
9
60
3
10
=
3
20