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 2/7 1/7 3/7 4/7 2/7 1/7 3/7 4/7 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 The greatest fraction out of 2/5, 5/6, 11/12 and 7/8 is ? 11/12 2/5 7/8 5/6 11/12 2/5 7/8 5/6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2/5 = 0.4 , 5/6 = 0.833, 11/12 = 0.916 and 7/8 = 0.875Clearly, the greatest fraction is 0.916, i, e . 11/12.
Fractions and Decimals 5 x 0.25 x 6.301 x 0.00394=? 3.10324250 31.0324250 0.0310324250 0.310324250 3.10324250 31.0324250 0.0310324250 0.310324250 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Here 5 x 25 x 6301 x 394=310324250Total decimal places = (2+3+5) = 10 ∴ 5 x 0.25 x 6.301 x 0.00394 = 0.0310324250
Fractions and Decimals 9.75 x 9.75 - 2 x 9.75 x 5.75 + 5.75 x 5.75 = ? 18 16 17 15 18 16 17 15 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = a² -2ab + b² Where a =9.75 and b=5.75= (a-b)² = (9.75 - 5.75)² = 4²=16
Fractions and Decimals If √0.05 x 0.5 x a = 0.5 x 0.05 x √b, then a/b = ? 25 .025 .00025 .0025 25 .025 .00025 .0025 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 (.23 - .023) / ( .0023 / 23 ) = ? 2770 207 2070 2077 2770 207 2070 2077 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = (.23 - .023) / ( .0023 / 23 ) = .207 / (.0023 / 23) = .207 / .0001=.2070 / .0001 = 2070
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