Fractions and Decimals Find the value of 1/3 + 1/15 + 1/35 + 1/63 + 1/99 . 10/11 5/11 9/11 7/11 10/11 5/11 9/11 7/11 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 1/3 + 1/15 + 1/35 + 1/63 + 1/99= [1/3 + 1/15] + 1/35 + 1/63 + 1/99 = [6/15 + 1/35] + 1/63 + 1/99= 45/105 + 1/63 + 1/99 = [3/7 + 1/63] + 1/99= 28/63 + 1/99 = 4/9 + 1/99= 44 + 1/99 = 45/99 = 5/11
Fractions and Decimals [(3.537 - .948)² + (3.537 + .948)²] / [(3.537)² + (.948)²] = ? 1 3 2 0 1 3 2 0 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 \15.60 x 0.30=? 468 4.68 46.8 40.68 468 4.68 46.8 40.68 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ∵ 1560 x 30 = 46800∴ 15.60 x 0.30 = 4.6800= 4.68 ( Four places of decimal )
Fractions and Decimals The value of (489.1375 x 0.0483 x 1.956) / (0.0873 x 92.581 x 99.749) is closest to: 6 0.06 0.6 None of these 6 0.06 0.6 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (489.1375 x 0.0483 x 1.956) / (0.0873 x 92.581 x 99.749)= (489 x 0.05 x 2) / (0.09 x 93 x 100)= 489 / (9 x 93 x 10)= (163 / 279) x (1 / 10)= 0.58 / 10= 0.058 or 0.06
Fractions and Decimals If 144 / 0.144 = 14.4 / x, then the value of x is: 14.4 0.144 0.0144 1.44 14.4 0.144 0.0144 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
Fractions and Decimals If x/y = 0.3, then (2x - y)/(2x + y) = ? 0.5 0.15 0.5 0.25 0.5 0.15 0.5 0.25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x = 0.3y Then, (y - 2x)/(y + 2x)= y - 2(0.3y)/y + 2(0.3y)= y - 0.6y/y + 0.6y= 0.4y/1.6y= 0.4/1.6 = 0.25