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What is 91/6 - 4/8?

What is 91/6 - 4/8?

Here's how to subtract 4/8 from 91/6:

91
6
4
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 91 by 8, and get 728.

Then we multiply 4 by 6, and get 24.

Next we give both terms new denominators -- 6 × 8 = 48.

So now our fractions look like this:

728
48
24
48

Step 2

Since our denominators match, we can subtract the numerators.

728 − 24 = 704

So the answer is:

704
48

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:

704
48
÷ 2 =
352
24

Let's try dividing by 2 again...

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

352
24
÷ 2 =
176
12

Let's try dividing by 2 again...

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

176
12
÷ 2 =
88
6

Let's try dividing by 2 again...

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

88
6
÷ 2 =
44
3

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:
91
6
4
8
=
44
3