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Fractions and Decimals

Fractions and Decimals
(.538 x .538 - .462 x .462) / (1-.924) = ?

31
11
21
1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [ (.538)² - (.462)² ] / .076 = [(.538 + .462)(.538 - .462)] /.076=.076 / .076 = 1

Fractions and Decimals
(.58 x .58 x .58 - .42 x .42 x .42 - 3 x .58 x .42 x .16) = ?

0.04096
4.096
0.4096
0.004096

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression = (.53)³ - (.42)³- 3 x .58 x .42 x (.58-.42)= a³-b³ -3ab(a - b) = (a - b)³(where a = .58 and b=.42)= (.58 - .42 )³ = .16 x .16 x .16 = 0.004096

Fractions and Decimals
The number 0.127 is how much greater than 1/8 ?

1/500
1/300
1/1000
1/800

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.127 expressed as a fraction = 127/10001/8 can also be expressed as (1 x 125) / (8 x 125) = 125/1000The difference is 2/1000, which is 1/500

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) = ?

1
2
0
3

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
If 144 / 0.144 = 14.4 / x, then the value of x is:

1.44
0.144
0.0144
14.4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

144 / 0.144 = 14.4 / x144 x 1000 / 144 = 14.4 / x  x =14.4 / 1000 = 0.0144

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

8
80
0.8
800

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

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