Which of the following fractions has the greatest value?

[punzo]

Which of the following fractions has the greatest value?

3/8!

6(4!)/5(9!)

4(3!)/9!

3/5(7!)


How to approach this question. Can someone explain it.

[cyapt81]

Since two of the answer choices have 9! in the denominator, try to get all of the denominators to be in terms of 9!(5) by multiplying top and bottom of each fraction:

3/8! = (9)(3)(5)/(8!)(9)(5) = 135/9!(5)

6(4!)/5(9!) = (4!)(6)/(5)(9!) = 144/9!(5)

4(3!)/9! = 4(3!)(5)/(5)9! = 120/9!(5)

3/5(7!) = (3)(8)(9)/5(8)(9)(7!) = 216/9!(5)

Answer is the fourth choice 3/5(7!)

[Ben Ku]

Please see the following response.

which-of-the-following-fractions-has-the-greatest-value-t8104.html?hilit=Which%20of%20the%20following%20fractions%20has%20the%20greatest%20value?