math help

What is 99/7 - 5/6?

What is 99/7 - 5/6?

Here's how to subtract 5/6 from 99/7:

99
7
 −
5
6

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 99 by 6, and get 594.

Then we multiply 5 by 7, and get 35.

Next we give both terms new denominators -- 7 × 6 = 42.

So now our fractions look like this:

594
42
 −
35
42

Step 2

Since our denominators match, we can subtract the numerators.

594 − 35 = 559

So the answer is:

559
42

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...

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...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

Nope! So now we try the next greatest prime number, 31...

Nope! So now we try the next greatest prime number, 37...

Nope! So now we try the next greatest prime number, 41...

Nope! So now we try the next greatest prime number, 43...

No good. 43 is larger than 42. So we're done reducing.

There you have it! The final answer is:
99
7
 −
5
6
 =
559
42

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