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. 2 2/3 5 2/3 7 2/3 9 2/3 2 2/3 5 2/3 7 2/3 9 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 [ .6 x .6 x .6 x .4 x .4 x .4 + 3 x .6 x .4 x (.6 + .4 )] = ? 1 4 2 3 1 4 2 3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression =(.6)³ + (.4) ³ + 3 x .6 x .4 x (.6 + .4)= a³ + b³ + 3ab (a+b) = (a+b)³= (.6 + .4)³ = 1³ = 1
Fractions and Decimals What will come in place of question mark in the following equation ? 54.(?)3 + 543 + 5.43 = 603.26 7 3 8 5 7 3 8 5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let x + 543 + 5.43 = 603.26.Then, x = 603.26 - (543 + 5.43) = 603.26 - 548.43 =54.83Missing digit = 8.
Fractions and Decimals (.538 x .538 - .462 x .462) / (1-.924) = ? 11 21 31 1 11 21 31 1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = [ (.538)² - (.462)² ] / .076 = [(.538 + .462)(.538 - .462)] /.076=.076 / .076 = 1
Fractions and Decimals (0.29)2 - (0.01)2/0.3 = ? 0.30 0.32 0.28 0.34 0.30 0.32 0.28 0.34 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a² - b² = (a + b)(a - b)Hence,(0.29)² - (0.01)²/0.3 = (0.29 + 0.01)(0.29 - 0.01)/0.3= (0.3 x 0.28)/0.3 = 0.28
Fractions and Decimals (.125 + .027) / (.5 x .5 - 1.5 + .09) = ? 800 0.8 8 80 800 0.8 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
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