Fractions and Decimals The value of [(0.96)³- (0.1)³] / [(0.96)² + 0.096 + (0.1)²] is : 0.46 0.86 0.56 0.36 0.46 0.86 0.56 0.36 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression=[(0.96)³ - (0.1)³] / [(0.96)² + (0.96 x 0.1) + (0.1)²]= [(a³ - b³) / (a² + ab + b²)] = (a - b)= (0.96 - 0.1)= 0.86
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 ? 450 600 300 150 450 600 300 150 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 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 Which of the following fractions is greater than 3/4 and less than 5/6? 9/10 4/5 2/3 1/2 9/10 4/5 2/3 1/2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3/4 = 0.75, 5/6= 0.833, 1/2= 0.5, 2/3= 0.66,4/5= 0.8, 9/10= 0.9. Clearly, 0.8 lies between 0.75 and 0.833.4/5 lies between 3/4 and 5/6.
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 2/7 4/7 1/7 3/7 2/7 4/7 1/7 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 Change 75/100 into decimal number. 7.5 75 0.75 750 7.5 75 0.75 750 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 75/100 = 0.75
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