Simplification and Approximation

6 of 5/8 / 5/8 – 1/8 = ______? A. 6 1/8 B. 5 3/4 C. 6 3/4D. 5 7/8 Explanation: 6 of 5/8 / 5/8 – 1/8 30/8 * 8/5 – 1/8 = 6 – 1/8 = 5 7/8

(22 * 495 + 891 * 44) / (33 * 176 + 55 * 264) = _________? A. 1 B. 2C. 69/28 D. 66/17 Explanation: (22 * 495 + 891 * 44) / (33 * 176 + 55 * 264) = (22 * 33 * 15 + 9 * 99 * 2 * 22) /…

[(62.25/2.5) + (12.5/0.5)] / [(0.75 * 9) + (3.5 * 3.5)] = _________? A. 1 17/38 B. 1 38/17 C. 2 38/17D. None of these Explanation: [(62.25/2.5) + (12.5/0.5)] / [(0.75 * 9) + (3.5 * 3.5)] = [(6225/250) + (125/5)] / (6.75 + 12.25) = (249/10 + 25) / 19 = 499/190 = 2…

[(523 + 27) * (187 – 35) / (424 + 16)] / [110/22 of (2 * 38)] = ______? A. 2 B. 1 C. 4 D. 3 Explanation: [(523 + 27) * (187 – 35) / (424 + 16)] / [110/22 of (2 * 38)] = [(550 * 152) / 440] / [(110/44) * 38]…

(50 – ?/29)% of 4200 = 3√196 A. 1350 B. 1450 C. 1550D. 1421 Explanation: (50 – ?/29)% of 4200 = 3√196

7 + 5 – (3/2 * 1/4) of 2/7 + 7/2 * 1/6 equals ________. A. 12 3/88 B. 24 21/24C. 12 25/224 D. 12 1/224 Explanation: 7 + 5 – (3/2 * 1/4) of 2/7 + 7/2 * 1/16 = 7 + 5 – (3/2 * 1/4) * 2/7 + 7/2 * 1/16 =…

0.003 * ? * 0.0003 = 0.00000027 A. 9 B. 3C. 0.3 D. 0.03 Explanation: 0.003 * ? * 0.0003 = 0.00000027 3/1000 * ? * 3/10000 = 3/1000 * 3/1000 * 3/100 ? = 3/10 = 0.3

[(7 * 9) + (2 * 12) + 3]/[(12 * 3) + (81/9)] = ______? A. 4 B. 60 C. 1.75D. None of these Explanation: [(7 * 9) + (2 * 12) + 3]/[(12 * 3) + (81/9)] = (63 + 24 + 3)/(36 + 9) = 90/45 = 2

6 2/3 * 9 3/5 * 2 1/3 + 1 1/3 = __________? A. 150 1/3B. 150 2/3 C. 149 2/3 D. 149 1/3 Explanation: 6 2/3 * 9 3/5 * 2 1/3 + 1 1/3 = 20/3 * 48/5 * 7/3 + 4/3 = 448/3 + 4/3 = 452/3 = 150 2/3

9000 + 16 2/3 % of ? = 10500 A. 1500 B. 1750C. 9000 D. 7500 Explanation: 9000 + 16 2/3 % of ? = 10500 => 9000 + 50/3 % of ? = 10500 50/(3 * 100) of ? = 1500 => ? = 1500 * 6 ? = 9000