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 2 2/3 5 2/3 9 2/3 7 2/3 2 2/3 5 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 (.356 x .365 - 2 x .365 x .106 + .106 x .106) / (.632 x .632 + 2 x .632 x .368 +.368 x .368) = ? .0625 .625 6.25 62.5 .0625 .625 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 Find the sum 3/10 + 5/100 + 8/1000 in decimal form ? 3.58 0.358 35.8 None of these 3.58 0.358 35.8 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3/10 + 5/100 + 8/1000= 0.3 + 0.05 + 0.008 = 0.358
Fractions and Decimals (6.5 x 4.7 + 6.5 x 5.3 ) / (1.3 x 7.9 - 1.3 x 6.9) = ? 55 60 50 65 55 60 50 65 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given Expression = (6.5 x 4.7 + 6.5 x 5.3 ) / (1.3 x 7.9 - 1.3 x 6.9) = [6.5 x (4.7 + 5.3 )] / [13 x (7.9 - 6.9)]= (6.5 x 10) / (1.3 x 1) = 50
Fractions and Decimals Out of the fractions 5/7, 7/13, 4/7, 4/15 and 9/14, which is the third highest? 4/7 5/7 4/15 7/13 4/7 5/7 4/15 7/13 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 3889 + 12.952 - ? = 3854.002 4795 47.95 4.795 479.5 4795 47.95 4.795 479.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let 3889 + 12.952 - x = 3854.002.Then x = (3889 + 12.952) - 3854.002 = 3901.952 - 3854.002 = 47.95.
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