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What is 6/88 - 2/8?

What is 6/88 - 2/8?

Here's how to subtract 2/8 from 6/88:

6
88
2
8

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 6 by 8, and get 48.

Then we multiply 2 by 88, and get 176.

Next we give both terms new denominators -- 88 × 8 = 704.

So now our fractions look like this:

48
704
176
704

Step 2

Since our denominators match, we can subtract the numerators.

48 − 176 = -128

So the answer is:

-128
704

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:

-128
704
÷ 2 =
-64
352

Let's try dividing by 2 again...

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

-64
352
÷ 2 =
-32
176

Let's try dividing by 2 again...

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

-32
176
÷ 2 =
-16
88

Let's try dividing by 2 again...

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

-16
88
÷ 2 =
-8
44

Let's try dividing by 2 again...

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

-8
44
÷ 2 =
-4
22

Let's try dividing by 2 again...

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

-4
22
÷ 2 =
-2
11

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:
6
88
2
8
=
2
11