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Fractions and Decimals

Fractions and Decimals
[( 3.242 x 14 ) / 100] = ?

45.388
4.5388
0.45388
0.045388

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Multiplying 3.242 x 14=4.5388Now divide 4.5388 by 100So, 4.5388 ÷ 100= 0.045388∴ Shift the decimal two places to the left as 100

Fractions and Decimals
If 1.5 x a = 0.04 x b then the value of (b - a) / ( b + a) is ?

73/770
None of these
73/77
730/77

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a / b = 0.04 / 1.5 = 4 / 150 = 2 / 75∴ Given Exp. (b - a) / ( b + a)= (1- a/b ) / (1 + a/b) = (1- 2 / 75) / (1 + 2 / 75)= ( 73/75 ) / ( 77/75)= 73/77

Fractions and Decimals
( 17.28 / ? ) / (3.6 x 0.2) = 200

0.13
0.12
0.10
0.11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let (17.28 / y) / (3.6 x 0.2) = 200Then,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.

Fractions and Decimals
16.001 x 11.999 x 99.989 x 0.9 = ?

20924
18764
19347
17280

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 16 x 12 x 100 x 0.9 ? = 17280

Fractions and Decimals
(1.04 x 1.04 + 1.04 x 0.04 + 0.04 x 0.04) / (1.04 x 1.04 x 1.04 - 0.04 x 0.04 x 0.04) = ?

3
1
0
2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression = (1.04)² + 1.04 x 0.04 + (0.04)² / (1.04)³ - (0.04)³= (a² + ab + b²) / (a³ - b³) = (a² + ab + b²) / [(a-b) (a² + ab + b²)]= 1 / (a - b)= 1/ (1.04 - 0.04) = 1

Fractions and Decimals
0.002 * 0.5 = ?

0.001
0.01
1
0.1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2 * 5 = 10.Sum of decimal places =  4..002  * .5 = 0.0010 = 0.001 

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