Rank those three in order from smallest to biggest. I. 47/150 II. 111/350 III.299/900

This topic has expert replies
Moderator
Posts: 6502
Joined: 07 Sep 2017
Followed by:20 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Rank those three in order from smallest to biggest.

I. 47/150
II. 111/350
III.299/900


(A) I, II, III
(B) I, III, II
(C) II, I, III
(D) II, III, I
(E) III, I, II


OA A

Source: Magoosh

Legendary Member
Posts: 2080
Joined: 29 Oct 2017
Followed by:6 members
BTGmoderatorDC wrote:
Thu Jan 06, 2022 9:27 pm
Rank those three in order from smallest to biggest.

I. 47/150
II. 111/350
III.299/900


(A) I, II, III
(B) I, III, II
(C) II, I, III
(D) II, III, I
(E) III, I, II


OA A

Source: Magoosh
Let's analyze one by one,

I. \(\dfrac{47}{150} = \dfrac{48}{150} - \dfrac{1}{150} = 0.32 - \dfrac{1}{150}\)

II. \(\dfrac{111}{350} = \dfrac{112}{350} - \dfrac{1}{350}= 0.32 - \dfrac{1}{350}\)

III. \(\dfrac{299}{900} = \dfrac{300}{900} - \dfrac{1}{900}= 0.33333 - \dfrac{1}{900}\)

So we can say that

\(I < II < III\)

Therefore, A