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. 5 2/3 9 2/3 7 2/3 2 2/3 5 2/3 9 2/3 7 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 [(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 The place value of 3 in 0.07359 is ? 0.3 0.03 0.003 0.0003 0.3 0.03 0.003 0.0003 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The place value of 3 in the given decimal fraction is .003 i.e. 3/1000.
Fractions and Decimals A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out this cloth ? 150 450 600 300 150 450 600 300 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Length of each piece = (1/8) m = 0.125 mRequired no of pieces = (37.5/0.125) = (375 * 100) / 125 = 300.
Fractions and Decimals The rational number for recurring decimal 0.125125.... is: 125/1000 125/100 125/99 125/999 125/1000 125/100 125/99 125/999 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP _0.125125... = 0.125 =125/999
Fractions and Decimals (44.99)² - (15.01)² = ? 1500 700 1800 1100 1500 700 1800 1100 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a² - b² = (a + b)(a - b)Hence, (44.99)² - (15.01)² = (44.99 + 15.01)(44.99 - 15.01)= 60 x 29.98 = 60 x 30 = 1800
EXAMIANS