Fractions and Decimals If √0.05 x 0.5 x a = 0.5 x 0.05 x √b, then a/b = ? .0025 25 .00025 .025 .0025 25 .00025 .025 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = √0.5 x .5 x a = .5 x .05 x √ b⇒ √.025 x a = 0.25 x ⇒ b⇒ 0.025a = 0.25 x .025 x b∴ a/b = (.025 x .025) /.025 = .025
Fractions and Decimals Arrange the fractions in ascending order: 3/4, 5/8, 7/12, 13/16 5/8 < 3/4 < 13/16 < 7/12 5/8 < 7/12 < 3/4 < 13/16 5/8 < 7/12 < 13/16 < 3/ 7/12 < 5/8 < 3/4 < 13/16 5/8 < 3/4 < 13/16 < 7/12 5/8 < 7/12 < 3/4 < 13/16 5/8 < 7/12 < 13/16 < 3/ 7/12 < 5/8 < 3/4 < 13/16 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 5/8 = .625,7/12 = .5833, 3/4 = .75,13/16 = .8125So order will be 7/12 < 5/8 < 3/4 < 13/16
Fractions and Decimals [(3.537 - .948)² + (3.537 + .948)²] / [(3.537)² + (.948)²] = ? 1 2 0 3 1 2 0 3 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 138.009 + 341.981 - 146.305 = 123.6 + ? 21.0085 2.10085 210.085 21.0085 21.0085 2.10085 210.085 21.0085 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let 138.009 + 341.981 - 146.305 = 123.6 + zThen, z = (138.09+341.981) - (146.305+123.6)= 479.99 - 269.905 = 210.085
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 7 2/3 9 2/3 5 2/3 2 2/3 7 2/3 9 2/3 5 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 fraction is the largest? 18/23 16/21 8/9 14/17 18/23 16/21 8/9 14/17 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Converting the given fractions into decimal form, we have,8/9 = 0.8818/23 = 0.7816/21 = 0.7614/17 = 0.82From the above, 0.88 is the largest.Corresponding fraction is 8/9.
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