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Aptitude - Decimal Fraction - Discussion

Discussion Forum : Decimal Fraction - General Questions (Q.No. 9)
Decimal Fraction
9.
(0.1667)(0.8333)(0.3333) is approximately equal to:
(0.2222)(0.6667)(0.1250)
2
2.40
2.43
2.50
Answer: Option
Explanation:
Given expression
= (0.3333) x (0.1667)(0.8333)
(0.2222) (0.6667)(0.1250)
= 3333 x
1 x 5
6 6
2222
2 x 125
3 1000
= 3 x 1 x 5 x 3 x 8
2 6 6 2
= 5
2
= 2.50
Discussion:
43 comments Page 3 of 5.
Aruna said:   1 decade ago
I see approximate value.
Satish said:   1 decade ago
0.1667 can be treated as 0.16666 since they are asking for approximate values.
Satish said:   1 decade ago
Here is a solution:

0.1667 = 0.1666 ; 0.16 (6-bar) ; (16-1)/90 = 1/6.
0.8333 = 0.83 (3-Bar); (83-8)/90= 75/90 = (5/6).

0.3333 = 0.3 (3-bar); (3/9) = 1/3.
0.2222 = 0.2 (2-bar); (2/9).
0.6667 = 0.6 (6-bar); 6/9 = 2/3.
0.1250 = 1/8.

Substitute at the given places and get the answer as 2.50.

Study Conversion of Recurring Decimals.
(1)
Viji said:   1 decade ago
I don't understand for the sum. Please any one can explain me.
Brahmini said:   1 decade ago
How you pupil take that 0.1667 as 0.16 bar because in question they gave only 0.1667 but not 0.166666666.

Then how recurring works? Please can any one explain me.
Divya said:   1 decade ago
How can find the shortcut method because could not easy away form in the method?
Nirmal Maity said:   1 decade ago
0.1667 = (16-1)/90 = 1/6.

0.8333 = (83-8)/90 = 5/6.

0.6667 = 6/9 = 3/2.
Harish said:   1 decade ago
How did you find 1/6 and 5/6 any shortcut to find that number?
Srishti said:   1 decade ago
I am clear with 10x and 9x value but how can we get x = 1/6?
Ratika said:   1 decade ago
@Ashique.

If we subtract 10x = 1.667 from x = 0.1667 then we get 9x = 1. 5003
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