Fractions and Decimals 6 x 0.6 x 0.06 x 0.006 x 60 = ? 77.76 7.776 0.7776 0.07776 77.76 7.776 0.7776 0.07776 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 6 x 6/10 x 6/100 x 6/1000 x 60 = 77760/1000000 = 7776/100000 = 0.07776
Fractions and Decimals Out of the fractions 4/7, 5/13, 6/11, 3/5 and 2/3 which is the second smallest fraction ? 3/5 5/13 6/11 4/7 3/5 5/13 6/11 4/7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 4/7 = 0.57, 5/13 = 0.38, 6/11 = 0.54, 3/5 = 0.6 and 2/3 = 0.67Clearly, the second smallest fraction is 6/11
Fractions and Decimals A boy on being asked 13/14 of a certain fraction had made the mistake of dividing the fraction by 14/13 and so got an answer that exceeded the correct answer by 3/65. The correct fraction is ? 16/45 13/45 19/45 None of these 16/45 13/45 19/45 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the fraction be N.Then, N / (13/14) - (13/14) x N = 3/65⇒ 14N/13 - 13N/14 = 3/65⇒ (196N - 169N)/182 = 3/65⇒ 27N/182 = 3/65∴ N = (3 x 182) / (27 x 65) = 14/45So, correct answer will be (13/14) x (14/45) = 13/45
Fractions and Decimals If the numerator of a fraction is increased by 2 and the denominator is increased by 1, the fraction because 5/8 and if the numerator of the same fraction is increased by 3 and the denominator is incr 3/7 1/7 4/7 2/7 3/7 1/7 4/7 2/7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the original fraction be p/q Then, (p + 2) / (q + 1) = 5/8⇒ 8p - 5q = 11 .....(i)Again (p + 3) / (q + 1) = 3/4⇒ 4p - 3q = 9 ...(ii)Solving equations , (i) and (ii), we get ,p = 3 and q = 7∴ Fraction = 3/7
Fractions and Decimals 9.99 x 9.9 x 9 ÷ 9.9 ÷ 0.3 = ? 4.44 1.11 3.33 2.22 4.44 1.11 3.33 2.22 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = (9.99 x 9.9 x 9)/(9.9 x 0.9 x 0.3) = 3.33
Fractions and Decimals [(0.87)³ + (0.13)³] / [(0.87)² - 0.87 x 0.13 + (0.13)²] = ? 3 2 1 4 3 2 1 4 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