Gmat_mission wrote:Which of the following fractions expressed in the form P/Q is most nearly approximated by the decimal PQ, where P in the tenths' digit and Q is the hundredths' digit?
A. 1/8
B. 2/9
C. 3/4
D. 4/5
E. 8/9
P/Q ≈ 0.PQ
P/Q ≈ (PQ)/100
100P ≈ Q * PQ
The correct value for P/Q must satisfy the approximation in blue.
A: 100*1 ≈ 8*18
B: 100*2 ≈ 9*29
C. 100*3 ≈ 4*34
D. 4*100 ≈ 5*45
E: 8*100 ≈ 9*89
Only
E yields a valid approximation.
The correct answer is
E.
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