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Fractions and Decimals

Fractions and Decimals
(.896 x .752 +.896 x .248) / (.7 x .034 + .7 x.966) = ?

1.25
1.28
1.33
1.31

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = (.896 x .752 +.896 x .248) / (.7 x .034 + .7 x.966)=.[896 x (.752+.248)] / [.7 x (.034+.966)] = .(896 x 1) / ( .700 x 1)=896/700 = 1.28

Fractions and Decimals
( 0.5 x 0.5 x 0.5 x 0.6 x 0.6 x 0.6 ) / ( 0.5 x 0.5 - 0.3 + 0.6 x 0.6 ) = ?

11.1
111.1
1.1
11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(0.5)³ + (0.6)³ ] / [(0.5)² - 0.5 x 0.6 + (0.6)²]= (a³+b³) / ( a²-ab+b²)= a + b= 0.5 + 0.6= 1.1

Fractions and Decimals
(10.3 * 10.3 * 10.3 + 1)/(10.3 * 10.3 - 10.3 + 1) is :

1.3
None of these
111.3
11.3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a^3 + b^3 = (a+ b) * (a^2 + b^2 - ab)..( (10.3)^3 + (1)^3 ) / ((10.3)^2  + (1)^2 - (1 * 10.3))=> a + b = 10.3 + 1 = 11.3

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
(3.65 x 3.65 + 2.35 x 2.35 - 2 x 2.35 x 3.65) / 1.69 = ?

4
3
2
1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression=[(3.65)² + (2.35)² -2 x 3.65 x 2.35 ] / 1.69=a² + b² - 2ab / 1.69, Where a = 3.65 and b = 2.35=(a - b)² / 1.69 = (3.65 - 2.35)² / 1.69 = (1.3)² / 1.69 = 1.69 / 1.69 = 1

Fractions and Decimals
(0.16)² - (0.12)² = ?

1.12
11.2
0.0112
.112

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = a² - b² = (a + b)(a - b)Hence, (0.16)² - (0.12)²= (0.16 + 0.12)(0.16 - 0.12)= 0.28 x 0.04 = 0.0112

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