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 11 111.1 1.1 11.1 11 111.1 1.1 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 (.356 x .365 - 2 x .365 x .106 + .106 x .106) / (.632 x .632 + 2 x .632 x .368 +.368 x .368) = ? .625 .0625 6.25 62.5 .625 .0625 6.25 62.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = [(.356)² -2 x .356 x .106 + (.106)²] / [(.632)²+2 x .632 x .368 +(.368)²]= (a² -2ab + b²) / (c²+2cd+d²)= (a - b)² / (c + d)²= (.356 -.106)² / (.632 + .368)²= (.25)² = .0625
Fractions and Decimals If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 18 26/27. Find the fraction. 9 2/3 7 2/3 5 2/3 2 2/3 9 2/3 7 2/3 5 2/3 2 2/3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP If the required fraction be P According to the question (P x P) / (1/P) = 18 26/27⇒ P³ = 512/27∴ P = 8/3 = 2 2/3
Fractions and Decimals (.23 - .023) / ( .0023 / 23 ) = ? 2770 207 2070 2077 2770 207 2070 2077 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = (.23 - .023) / ( .0023 / 23 ) = .207 / (.0023 / 23) = .207 / .0001=.2070 / .0001 = 2070
Fractions and Decimals [(0.1667)(0.8333)(0.3333)] / [(0.2222)(0.6667)(0.1250)] is approximately equal to: 3.50 4.50 1.50 2.50 3.50 4.50 1.50 2.50 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression [(0.3333)/(0.2222)] x [((0.1667)(0.8333)) / ((0.6667)(0.1250))]=[(3333 / 2222)] x [((1/6) x (5/6)) / ((2/3) x (125/1000))]=[(3/2) x (1/6) x (5/6) x (3/2) x 8]=5 / 2=2.50
Fractions and Decimals 5 x 0.25 x 6.301 x 0.00394=? 31.0324250 3.10324250 0.0310324250 0.310324250 31.0324250 3.10324250 0.0310324250 0.310324250 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Here 5 x 25 x 6301 x 394=310324250Total decimal places = (2+3+5) = 10 ∴ 5 x 0.25 x 6.301 x 0.00394 = 0.0310324250