Fractions and Decimals [(0.87)³ + (0.13)³] / [(0.87)² - 0.87 x 0.13 + (0.13)²] = ? 4 2 1 3 4 2 1 3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given Expression = ( a³ + b³ )/ (a² + b² - ab) where = 0.87 and b = 0.13= [(a + b ) (a² + b² - ab)] / (a² + b² - ab) = a + b = 0.87 + 0.13= 1
Fractions and Decimals (0.16)² - (0.12)² = ? 11.2 .112 1.12 0.0112 11.2 .112 1.12 0.0112 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
Fractions and Decimals Arrange the fractions in ascending order: 3/4, 5/8, 7/12, 13/16 5/8 < 7/12 < 3/4 < 13/16 7/12 < 5/8 < 3/4 < 13/16 5/8 < 3/4 < 13/16 < 7/12 5/8 < 7/12 < 13/16 < 3/ 5/8 < 7/12 < 3/4 < 13/16 7/12 < 5/8 < 3/4 < 13/16 5/8 < 3/4 < 13/16 < 7/12 5/8 < 7/12 < 13/16 < 3/ ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 5/8 = .625,7/12 = .5833, 3/4 = .75,13/16 = .8125So order will be 7/12 < 5/8 < 3/4 < 13/16
Fractions and Decimals Out of the fractions 5/7, 7/13, 4/7, 4/15 and 9/14, which is the third highest? 7/13 4/15 4/7 5/7 7/13 4/15 4/7 5/7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 5/7 = 0.71, 7/13 = 0.54, 4/7 = 0.57, 4/15 = 0.27, 9/14 = 0.64Clearly, 4/7 is the third highest fraction.
Fractions and Decimals The product of 3.5413 x 2.1 is 7.43673 None of these 743.673 74.3673 7.43673 None of these 743.673 74.3673 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP For the product of 3.5413 x 2.1Consider 35413 x 21 = 743673Total decimal places = 4 + 1∴ 3.5413 x 2.1=7.43673
Fractions and Decimals Which of the following fraction is arranged in ascending order of their value? 1/4, 2/7, 4/7, 5/7, 3/4, 6/5 1/4, 2/7, 3/4, 4/7, 5/7, 6/5 2/7, 1/4, 4/7, 5/7, 3/4, 6/5 2/7, 1/4, 4/7, 3/4, 5/7, 6/5 1/4, 2/7, 4/7, 5/7, 3/4, 6/5 1/4, 2/7, 3/4, 4/7, 5/7, 6/5 2/7, 1/4, 4/7, 5/7, 3/4, 6/5 2/7, 1/4, 4/7, 3/4, 5/7, 6/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Converting the given fractions into decimal numbers, we have1/4 = 0.252/7 = 0.283/4 = 0.754/7 = 0.575/7 = 0.716/5 = 1.2So, 0.25 < 0.28 < 0.57 < 0.71 < 0.75 < 1.2Corresponding fraction is 1/4 < 2/7 < 4/7 < 5/7 < 3/4 < 6/5
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