Fractions and Decimals Which of the following fractions is greater than 3/4 and less than 5/6? 1/2 4/5 9/10 2/3 1/2 4/5 9/10 2/3 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 denominator is increased by 3, the faction becomes 7/9 and if numerator as well as denominator are decreased by 1, the fraction becomes 4/5. What i 5/6 5/4 5/10 5/8 5/6 5/4 5/10 5/8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numerator and denominator be p and q respectively.Then, (p + 2) / (q + 3) = 7/9⇒ 9(p + 2) = 7(q +3)⇒ 9p - 7q = 3 ....(i)Again, (p - 1) / (q - 1) = 4/5⇒ 5p - 4q = 1 ....(ii)Solving (i) and (ii) we get,p = 5, q = 6Required fraction = 5/6
Fractions and Decimals (0.47 x 0.47 x 0.47 - 0.33 x 0.33 x 0.33) / (0.47 x 0.47 + 0.47 x 0.33 + 0.33 x 0.33) = ? 1.4 0.014 0.14 14 1.4 0.014 0.14 14 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = [(0.47)³ - (0.33)³] / [(0.47)² + 0.47 x 0.33 + (0.33)²]= [a³ - b³ ] / [ a² + ab + b²] = [(a-b) (a² + ab + b²)] / [(a² + ab + b²)]= (a - b) = (0.47 - 0.33) = 0.14
Fractions and Decimals Evaluate : [(2.39)² - (1.61)²] / [2.39 - 1.61] 4 2 3 6 4 2 3 6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given Expression=(a² - b²) / (a - b)=[(a + b)(a - b)] / (a - b)= (a + b)= (2.39 + 1.61)= 4
Fractions and Decimals (369.99)² = ? None of these 1369 x 10 1369 1369 x 10² None of these 1369 x 10 1369 1369 x 10² ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 1369 x 10²
Fractions and Decimals (4.5 x 3.7 + 4.5 x 6.3)/(1.5 x 8.4 - 1.5 x 7.4) = ? 20 5 30 10 20 5 30 10 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (4.5 x 3.7 + 4.5 x 6.3)/(1.5 x 8.4 - 1.5 x 7.4) = 4.5 x (3.7 + 6.3)/1.5 x (8.4 - 7.4) = 4.5 x 10/1.5 x 1 = 30
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