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 9 2/3 5 2/3 7 2/3 2 2/3 9 2/3 5 2/3 7 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 [(3.537 - .948)² + (3.537 + .948)²] / [(3.537)² + (.948)²] = ? 2 3 0 1 2 3 0 1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = [(3.537 - .948)² + (3.537 + .948)²] / [(3.537)² + (.948)²] = [(a - b)² + (a + b)²] / (a²+ b²) (Where a = 3.537 and b = 0.948)= 2(a² +b²) / (a² +b²) = 2
Fractions and Decimals Which of the following fractions is greater than 3 /4 and less than 5 / 6 ? 1/2 5/6 3/4 4/5 1/2 5/6 3/4 4/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3 /4 = 0.75, 5/6 = 0.833,1/2 = .5,2/3 = 0.66, 4/5 = 0.8,9/10 = 0.9.clearly 0.8 lies between 0.75 and .833.4/5 lies between 3/4 and 5/6.
Fractions and Decimals If √15 = 3.88, the value of √5/3 is ? 1290 12.9 1.29 129 1290 12.9 1.29 129 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP √5/3 = √15/9= √15/3= 3.88/3 = 1.29
Fractions and Decimals [12 / (0.09 of 0.3)] x 2=? 800/90 8000/9 8000/90 800/9 800/90 8000/9 8000/90 800/9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = ( 12/ 0.027) x 2= ( 12 / 0.027) x 2 = 24000/27 = 8000/9
Fractions and Decimals If 144 / 0.144 = 14.4 / x, then the value of x is: 0.0144 0.144 14.4 1.44 0.0144 0.144 14.4 1.44 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 144 / 0.144 = 14.4 / x144 x 1000 / 144 = 14.4 / x x =14.4 / 1000 = 0.0144
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