math help

What is 2/10 - 1/3?

What is 2/10 - 1/3?

Here's how to subtract 1/3 from 2/10:

2
10
1
3

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 2 by 3, and get 6.

Then we multiply 1 by 10, and get 10.

Next we give both terms new denominators -- 10 × 3 = 30.

So now our fractions look like this:

6
30
10
30

Step 2

Since our denominators match, we can subtract the numerators.

6 − 10 = -4

So the answer is:

-4
30

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:

-4
30
÷ 2 =
-2
15

Let's try dividing by 2 again...

Nope! So now we try the next greatest prime number, 3...

No good. 3 is larger than -2. So we're done reducing.

There you have it! The final answer is:
2
10
1
3
=
2
15