Question 1

0.000033 / 0.11=?

Accepted Answer

0.000033 / 0.11 = 0.0033 / 11 =.0003

Question 2

25 / .0005 =?

Accepted Answer

25 / .0005 = 250000 / 5 = 50000

Question 3

[12 / (0.09 of 0.3)] x 2=?

Accepted Answer

Given expression = ( 12/ 0.027) x 2 = ( 12 / 0.027) x 2 = 24000/27 = 8000/9

Question 4

50.8 / 2540 =?

Accepted Answer

50.8 / 2540 = 508 / 25400 = 2 / 100 = .02

Question 5

0.0169 / 0.013=?

Accepted Answer

0.0169 / 0.0130 = 169 / 130 = 13 / 10

Question 6

15.60 x 0.30=?

Accepted Answer

∵ 1560 x 30 = 46800 ∴ 15.60 x 0.30 = 4.6800 = 4.68 ( Four places of decimal )

Question 7

3 x 0.3 x 0.03 x 0.003 x 30=?

Accepted Answer

3 x 3 x 3 x 3 x 30 = 2430 ∴ 3 x 0.3 x 0.03 x 0.003 x 30 = 0.002430 (Six places of decimal )

Question 8

16.7 + 12.38 -? =10.09

Accepted Answer

Let 16.7 + 12.38 - x =10.09 ∴ x = 16.7 + 12.38 - 10.09 = 18.99

Question 9

0.6 + 0.66 + 0.066 + 6.606 =?

Accepted Answer

0.6 + 0.66 + 0.066 + 6.606 = 0.600 + 0.660 + 0.066 + 6.660 = 7.932

Question 10

What decimal of an hour is a second?

Accepted Answer

Required decimal = 1/ ( 60 x 60) = .00027

Question 11

Which of the following fraction is the smallest?

Accepted Answer

11/3 = 0.846, 9/11 = 0.818, 3/4 = 0.75 and 5/7 = 0.714 Clearly, 0.714 is the smallest and hence 5/7 is smallest fraction .

Question 12

(.24 x .35 ) / (.14 x .15 x .02) is equal to?

Accepted Answer

(.24 x .35) / (.14 x .15 x .02) = (24 x 35 x 100 ) / (14 x 15 x 2) =200

Question 13

If 2805 / 2.55 = 1100, then 280.5 / 25.5 is equal to?

Accepted Answer

Given expression 280.5 / 25.5 = 2805 / 255 = 2805 / (2.55 x 100) = 1100 / 100 =11

Question 14

If 1 / 3.718 = .2689, then the value of 1 / .0003718 is?

Accepted Answer

1 / .003718 = 10000 / 3.718 = 10000 x ( 1/3.718) = 10000 x .2689 = 2689.

Question 15

( 20 + 8 x 0.5 ) / ( 20 -? ) = 12

Accepted Answer

Let (20 + 8 x 0.5) / ( 20 - y) =12 Then, 24 =12 x (20 - y) ∴ 12y = 216 ⇒ y = 18

Question 16

0.15 / (0.5 / 15) =?

Accepted Answer

Let Y = 0.15 / (0.5 / 15) = (15/100) / [(5/100) / 15) = 4.5

Question 17

( 17.28 /? ) / (3.6 x 0.2) = 200

Accepted Answer

Let (17.28 / y) / (3.6 x 0.2) = 200 Then,17.28 / y = 200 x 3.6 x 0.2 ∴ y = 17.28 / (200 x 3.6 x 0.2) = 1728 / 200 x 36 x 2 = 0.12.

Question 18

3420 / 19 = (? / 0.01) x 7

Accepted Answer

Let 3420 / 19 = (y / 0.01) x 7 Then , y = ( 3420 / 19) x (0.01 / 7) = 180 / 700 = 9/35

Question 19

8.32 x 0.999 =?

Accepted Answer

Given expression = 8.32 x 0.999 = 8.32 x (1-0.001) = 8.32 - 8.32 x 0.001 =8.32 - .00832 = 8.31168.

Question 20

9.75 x 9.75 - 2 x 9.75 x 5.75 + 5.75 x 5.75 =?

Accepted Answer

Given expression = a2 -2ab + b2 Where a =9.75 and b=5.75 = (a-b)2 = (9.75 - 5.75)2 = 42 =16

Decimal Fraction Questions