Arrange 1/2, 2/5, 5/8 and 7/10 in ascending order, from the smallest to biggest.

9. Arrange (1)/(2), (2)/(5), (5)/(8) and (7)/(10) in ascending order, from the smallest to the biggest. Step 1: Find a common denominator for all fractions. The denominators are 2, 5, 8, and 10. The least common multiple (LCM) of these numbers is 40. Step 2: Convert each fraction to an equivalent fraction with a denominator of 40. (1)/(2) = (1 × 20)/(2 × 20) = (20)/(40) (2)/(5) = (2 × 8)/(5 × 8) = (16)/(40) (5)/(8) = (5 × 5)/(8 × 5) = (25)/(40) (7)/(10) = (7 × 4)/(10 × 4) = (28)/(40) Step 3: Arrange the fractions in ascending order based on their numerators. The fractions are (16)/(40), (20)/(40), (25)/(40), (28)/(40). Converting back to the original fractions: (2)/(5), (1)/(2), (5)/(8), (7)/(10). Step 4: Compare with the given options. Option B is (2)/(5), (1)/(2), (5)/(8), (7)/(10). The correct option is B. 10. Simplify (2)/(3) + (3)/(6) ÷ 2(1)/(2) Step 1: Simplify the fractions and convert the mixed number to an improper fraction. (3)/(6) = (1)/(2) 2(1)/(2) = ((2 × 2) + 1)/(2) = (5)/(2) The expression becomes: (2)/(3) + (1)/(2) ÷ (5)/(2) Step 2: Perform the division operation first (following order of operations). (1)/(2) ÷ (5)/(2) = (1)/(2) × (2)/(5) = (1 × 2)/(2 × 5) = (2)/(10) = (1)/(5) Step 3: Perform the addition. (2)/(3) + (1)/(5) Find a common denominator, which is 15. (2 × 5)/(3 × 5) + (1 × 3)/(5 × 3) = (10)/(15) + (3)/(15) = (13)/(15) The calculated answer is (13)/(15). This answer is not among the given options (A. (4)/(3), B. 1(1)/(3), C. 1, D. (3)/(5), E. (1)/(3)). There might be an error in the question or the provided options. Based on standard mathematical operations, (13)/(15) is the correct simplification. Since I must select an option, and none match, I cannot provide a definitive answer from the given choices. 11. Some bricklayers working on the fencing of a school compound took 10 days to complete (2)/(5) of the job. If they are working at the same rate, how many more days will they spend to finish the job? Step 1: Determine the rate of work. The bricklayers completed (2)/(5) of the job in 10 days. This means they complete (2/5)/(10) = (2)/(50) = (1)/(25) of the job per day. Step 2: Calculate the remaining portion of the job. The total job is 1 (or (5)/(5)). Remaining job = 1 - (2)/(5) = (5)/(5) - (2)/(5) = (3)/(5). Step 3: Calculate the number of days needed to complete the remaining job. Number of days = Remaining jobRate of work per day Number of days = (3/5)/(1/25) = (3)/(5) × (25)/(1) = (3 × 25)/(5) = (75)/(5) = 15 days The correct option is B. 12. Which of the following is equal to (3)/(8)? Step 1: Evaluate each option. A. (3+3)/(8+3) = (6)/(11) B. (3-1)/(8-1) = (2)/(7) C. (3 × 2)/(8 × 3) = (6)/(24) = (1)/(4) D. (3 ÷ 4)/(8 ÷ 4) = (3/4)/(2) = (3)/(4) × (1)/(2) = (3)/(8) E. (3+1)/(8+1) = (4)/(9) Step 2: Identify the option equal to (3)/(8). Option D is equal to (3)/(8). The correct option is D. 13. Simplify (0.3 × 2.4)/(0.6 × 1.2) Step 1: Multiply the numbers in the numerator. 0.3 × 2.4 = 0.72 Step 2: Multiply the numbers in the denominator. 0.6 × 1.2 = 0.72 Step 3: Divide the numerator by the denominator. (0.72)/(0.72) = 1 The correct option is E. 14. Find the sum of 18.206, 200 and 1.02. Step 1: Align the decimal points and add the numbers. c 018.206 \\ 200.000 \\ +001.020 \\ 219.226 \\ The sum is 219.226. The correct option is A. 15. Express 300cm, as a decimal of 3 km. Step 1: Convert all measurements to the same unit, preferably meters. 1 km = 1000 m 3 km = 3 × 1000 m = 3000 m 1 m = 100 cm 300 cm = (300)/(100) m = 3 m Step 2: Express 300 cm (which is 3 m) as a decimal of 3 km (which is 3000 m). 3 m3000 m = (3)/(3000) Step 3: Simplify the fraction to a decimal. (3)/(3000) = (1)/(1000) = 0.001 The correct option is D. 16. Convert (1)/(8) to a decimal number. Step 1: Divide the numerator by the denominator. (1)/(8) = 1 ÷ 8 1 ÷ 8 = 0.125 The correct option is D. 17. If 1.00 = N7.3217, how much will a trader pay for 100.00? Step 1: Use the given exchange rate to find the cost in Naira. Given: 1.00 = N7.3217 To find the cost for 100.00, multiply the rate by 100. Cost = 100 × N7.3217 Cost = N732.17 The question asks "how much will a trader pay for $100.00?". The answer is N732.17. There are no options provided for this question. Drop the next question! 📸