Fractions and Decimals Which of the following fraction is the smallest ? 5/7 3/7 11/13 9/11 5/7 3/7 11/13 9/11 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 11/3 = 0.846,9/11 = 0.818,3/4 = 0.75 and 5/7 = 0.714Clearly, 0.714 is the smallest and hence 5/7 is smallest fraction .
Fractions and Decimals 6 x 0.6 x 0.06 x 0.006 x 60 = ? 7.776 0.7776 77.76 0.07776 7.776 0.7776 77.76 0.07776 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 6 x 6/10 x 6/100 x 6/1000 x 60 = 77760/1000000 = 7776/100000 = 0.07776
Fractions and Decimals A vessel, full of water, weighs 16.5 kg. When the vessel is (1/4)th full, it weight 5.25 kg. Then, weight of the empty vessel (in kg) is ? 1.5 kg 100.5 kg 10.5 kg 1000.5 kg 1.5 kg 100.5 kg 10.5 kg 1000.5 kg ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the weight of vesel = x kg Then, 1/4 of volume of water = (5.25 - x)kg Full volume of water = (16.5 - x)∴ 4(5.25 - x) = (16.5 - x)⇒ 21 - 4x = 16.5 - x ⇒ 21 - 16.5 = 3x ∴ x = 4.5/3 = 1.5 kg
Fractions and Decimals (0.29)2 - (0.01)2/0.3 = ? 0.28 0.34 0.32 0.30 0.28 0.34 0.32 0.30 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a² - b² = (a + b)(a - b)Hence,(0.29)² - (0.01)²/0.3 = (0.29 + 0.01)(0.29 - 0.01)/0.3= (0.3 x 0.28)/0.3 = 0.28
Fractions and Decimals 9.99 x 9.9 x 9 ÷ 9.9 ÷ 0.3 = ? 2.22 3.33 4.44 1.11 2.22 3.33 4.44 1.11 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = (9.99 x 9.9 x 9)/(9.9 x 0.9 x 0.3) = 3.33
Fractions and Decimals (1.1 + 1.1 + 1.1 + 1.1) x 1.1 x 1.1 = ? = ? x 0.121 33 64 54 44 33 64 54 44 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = (1.1 + 1.1 + 1.1 + 1.1) x 1.1 x 1.1/0.121 = (4.4 x 1.1 x 1.1)/0.121 = 44
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