math help

What is 1/14 - 2/4?

What is 1/14 - 2/4?

Here's how to subtract 2/4 from 1/14:

1
14
2
4

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 1 by 4, and get 4.

Then we multiply 2 by 14, and get 28.

Next we give both terms new denominators -- 14 × 4 = 56.

So now our fractions look like this:

4
56
28
56

Step 2

Since our denominators match, we can subtract the numerators.

4 − 28 = -24

So the answer is:

-24
56

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:

-24
56
÷ 2 =
-12
28

Let's try dividing by 2 again...

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

-12
28
÷ 2 =
-6
14

Let's try dividing by 2 again...

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

-6
14
÷ 2 =
-3
7

Let's try dividing by 2 again...

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

Nope! So now we try the next greatest prime number, 5...

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

There you have it! The final answer is:
1
14
2
4
=
3
7