math help

What is 96/2 - 5/11?

What is 96/2 - 5/11?

Here's how to subtract 5/11 from 96/2:

96
2
5
11

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 96 by 11, and get 1056.

Then we multiply 5 by 2, and get 10.

Next we give both terms new denominators -- 2 × 11 = 22.

So now our fractions look like this:

1056
22
10
22

Step 2

Since our denominators match, we can subtract the numerators.

1056 − 10 = 1046

So the answer is:

1046
22

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:

1046
22
÷ 2 =
523
11

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...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

No good. 13 is larger than 11. So we're done reducing.

There you have it! The final answer is:
96
2
5
11
=
523
11