Of the following, which best approximates:

Question

\frac{(0.1667)(0.8333)(0.3333)}{(0.2222)(0.6667)(0.1250)}  ?

(A) 2.00
(8) 2.40
(C) 2.43
(D) 2.50
(E) 3.43

nkin · Accepted Answer

We can see that,

0.16667 =  1/6  , 0.3333 =  1/3  , 0.2222 =  2/9 , 0.6667 =  2/3  , 0.125 =  1/8  , 0.8333 =  5/6

Side note: If one does not remember, quick way to find these out would be as follows: Let x = 0.22222, 10*x = 2.22222, so 10*x - x = 2
Hence 9x = 2, or x = 2/9

If we substitute back we get  2.5  as the answer.

Hope that helps.

Chethan92 · Answer

0.16667 = 1/6
0.3333 = 1/3
0.2222 = 2/9
0.6667 = 2/3
0.125 = 1/8
0.8333 = 5/6

Substituting this,

9*3*8*5/6*3*6*2*2 = 5/2 = 2.5

D is the answer.

dave13 · Answer

rounded 0.16 to 0.2 --> 1/5

80/100 = 4/5

30/100 = 3/10

= 1/5*4/5*3/10 = 12/ 250

0.2222 = 2/10 = 1/5

0.6667 = 7/10

0.125 = 1/8

1/5*7/10*1/8 = 7/400

12/250 *400/7 = 96/35 = 2.7

Closest to 2.7 is Option D 2.5

KanishkM · Answer

I ball parked the given values to 0.16 * 0.8 * 0.3 / ( 0.2 * 0.6 * 0.12)

When divided will give 8/3

Nearest to D

kungfury42 · Answer

(0.1667)=1/6 
 (0.8333)=5/6 
 (0.3333)=1/3 
 (0.2222)=2/9 
 (0.6667)=2/3 
 (0.1250)=1/8

Therefore we have, Numerator  = 1/6*5/6*1/3 = 5/108 
Denominator  = 2/9*2/3*1/8 = 1/54

Fraction =  (5/108)/(1/54) = (5/2) = 2.5

Hence, D.

BrentGMATPrepNow · Answer

Strategy: Since the answer choices are tightly packed, approximation won't help us here. Instead, it looks like we need to convert each decimal to a fraction.

Let's simplify the numerator and denominator  independently

NUMERATOR 
 (0.1667)(0.8333)(0.3333) ≈ (\frac{1}{6})(\frac{5}{6})(\frac{1}{3}) ≈ \frac{5}{108}

DENOMINATOR 
 (0.2222)(0.6667)(0.1250) ≈ (\frac{2}{9})(\frac{2}{3})(\frac{1}{8}) ≈ \frac{4}{216} ≈ \frac{1}{54}

So.....
 \frac{(0.1667)(0.8333)(0.3333)}{(0.2222)(0.6667)(0.1250)} = \frac{\frac{5}{108}}{\frac{1}{54}}

= \frac{5}{108} 	imes \frac{54}{1}

=\frac{5}{2 }

= 2.5

Answer: D

ishitaz · Answer

is there any quick tip to remember how 0.1667 is 1/6 and 0.8333 is 5/6?

For other combinations where denominator is 3,9 or 5 is very redundant in other problems hence gets memorised easily.

statsguy13 · Answer

x=0.1667
10x=1.667
10x-x=1.667-0.1667
9x=1.5
90x=15
x=1/6

Similarly x=0.8333
10x=8.333
10x-x=8.333-0.8333
9x=7.5
90x=75
x=5/6

Hope it helps

Posted from my mobile device

kokus · Answer

1/6*5/6*1/3 / 2/9*2/3*1/8 -> 5/108 / 1/54 -> 5/108 * 54/1 -> 5/2 -> 2.5

Rance14 · Answer

1/2 = 0.5 (easy to remember)
1/3 = 0.33 (easy to remember)
1/4 = 0.25 (easy to remember)
1/5 = 0.20 (easy to remember)
1/6 = 0.1667 (memorize)
1/7 = 0.142 (memorize)
1/8 = 0.125 (simply multiply 1/4 by 1/2 - no need to memorize)
1/9 = 0.111 (simply multiply 1/3 by 1/3 - no need to remember)
1/10 = 0.10 (easy to remember)

now for this question

0.1667 -> 1/6
0.8333 -> 1-1/6 = 5/6
0.333 -> 1/3
0.222 -> 2/9
0.667 -> 2/3
0.1250 -> 1/8

on solving you get 15/6=2.5

findingmyself · Answer

0.16667 = 1/6 
 0.3333 = 1/3 
 0.1111=1/9

From above, Use the below TACTIC to FIND the other DECIMELS.

How to find 0.8333 (0.8333=1-0.16667)=>1-1/6=>5/6 
 How to find 0.2222 (0.2222=2*0.11111)=2*1/9=2/9 
How to find 0.66667 (0.66667=1-0.3333)= 1-1/3=2/3

Please note: GMAT doesn't want any of us to remember formulas neither it is easy to remember what is 2/9 or 5/6.  IT CAN ALL BE DERIVED

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