The value of (1.3333)(0.6666)(1.125)/(0.75)(0.8)(0.8333) is closest to

Question

The value of  \frac{(1.3333)(0.6666)(1.125)}{(0.75)(0.8)(0.8333)}  is closest to

A. 1/2
B. 2/3
C. 3/2
D. 2
E. 3

GMATinsight · Accepted Answer

\frac{(1.3333)(0.6666)(1.125)}{(0.75)(0.8)(0.8333)} =(4/3)*(2/3)*(9/8) / (3/4)*(4/5)*(5/6) = 2

1.3333 = 4/3
0.6666 = 2/3
1.125 = 1+0.125 = 1+(1/8) = 9/8
0.75 = 3/4
0.8 = 4/5
0.8333 = 5*0.166666 = 5*(1/6) = 5/6

Answer: Option D

HAPPYatHARVARD · Answer

1.3333 = 4/3
0.6666 = 2/3
1.125 = 1+0.125 = 1+(1/8) = 9/8
0.75 = 1 - 0.25 = 1 - 1/4 =3/4
0.8 = 4/5
0.8333 = 1- 0.1666 = 1 - 1/6 = 5/6

ansarose · Answer

I have a question ...how do we easily find the fractional form of decimals like

1.3333 = 4/3
0.6666 = 2/3

chetan2u   Bunuel

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chetan2u · Answer

You have to know few conversions for that 
1) 0.333.. =1/3, so if it is 2/3 or 2*1/3, multiply by 2, that is 0.333*2
2) 0.125..=1/8, so you can find 2/8 or 1/4, 3/8, 5/8 and so on
3) 0.16666...=1/6
4) 0.25=1/4, so 3/4 =0.25*3=0.75 and so on.

chetan2u · Answer

Change to fractions if you are comfortable with them.

1.3333 = 1+0.333=1+\frac{1}{3}=\frac{4}{3}

0.6666=2*0.3333=2*\frac{1}{3}=\frac{2}{3}

1.125=1+0.125=1+\frac{1}{8}=\frac{9}{8}

0.75=3*0.25=3*\frac{1}{4}=\frac{3}{4}

0.8=\frac{8}{10}

0.833=0.8+0.033=\frac{8}{10}+\frac{1}{30}=\frac{25}{30}

\frac{(1.3333)(0.6666)(1.125)}{(0.75)(0.8)(0.8333)}=\frac{\frac{4}{3}*\frac{2}{3}*\frac{9}{8}}{\frac{3}{4}*\frac{8}{10}*\frac{25}{30}} 
 \frac{1}{\frac{1}{2}}=2

But say you are not comfortable with fractions, you can always approximate the decimals as we are looking at the closest answer 
Numerator = 1.3333*0.6666*1.125 = 1.3*0.7*1.1=9.1*1.1=10 ( 2 decimals brought down and one moved up to nullify the effects)
Denominator = 0.75*0.8*0.833 = 3*0.25*4*2*0.833=3*1*2*0.8=4.8~5
So  \frac{(1.3333)(0.6666)(1.125)}{(0.75)(0.8)(0.8333)}=\frac{10}{5}=2

ansarose · Answer

Thanks!

Posted from my mobile device

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The value of (1.3333)(0.6666)(1.125)/(0.75)(0.8)(0.8333) is closest to

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The value of (1.3333)(0.6666)(1.125)/(0.75)(0.8)(0.8333) is closest to

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