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Fractions and Decimals

Fractions and Decimals
(.125 + .027) / (.5 x .5 - 1.5 + .09) = ?

8
800
0.8
80

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(0.5)³ + (0.3)³] / [(0.5)² - 0.5 x 0.3 + (0.3)²]= [a³ + b³] / [a² - ab + b²]=[(a + b)(a² - ab + b²)]/ [a² -ab + b²]= a+b = 0.5 + 0.3 = 0.8

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

0.12
0.10
0.13
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
[( 3.242 x 14 ) / 100] = ?

0.045388
45.388
4.5388
0.45388

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

31
11
41
21

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Fractions and Decimals
Which of the following fraction are in ascending order ?

11/14, 16/19, 17/22
17/22, 11/14, 16/19
16/19, 11/14, 17/22
16/19, 17/22, 11/14

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

16/19 =0.842,11/14 =0.785 and 17/22 = 0.772∴ 0.772 < 0.785 < 0.842or 17/22 < 11/14 < 16/19.

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
0
2
1

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

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