a) Change 1(1)/(5) as a percentage.

Here are the solutions to the problems: 3. a) Change 1(1)/(5) as a percentage. Step 1: Convert the mixed number to an improper fraction. 1(1)/(5) = ((1 × 5) + 1)/(5) = (6)/(5) Step 2: Convert the fraction to a decimal. (6)/(5) = 1.2 Step 3: Convert the decimal to a percentage. 1.2 × 100\% = 120\% The percentage is 120\%. b) Find the smallest number that can be divided by 48, 32 and 40. This requires finding the Least Common Multiple (LCM) of 48, 32, and 40. Step 1: Find the prime factorization of each number. 48 = 2^4 × 3 32 = 2^5 40 = 2^3 × 5 Step 2: Take the highest power of each prime factor present in any of the numbers. Highest power of 2: 2^5 Highest power of 3: 3^1 Highest power of 5: 5^1 Step 3: Multiply these highest powers together. LCM(48, 32, 40) = 2^5 × 3^1 × 5^1 = 32 × 3 × 5 = 480 The smallest number is 480. c) Find the next number in the series below: 2, 3, 5, 7, 9, \_ Step 1: Analyze the differences between consecutive terms. 3 - 2 = 1 5 - 3 = 2 7 - 5 = 2 9 - 7 = 2 Step 2: Identify the pattern in the differences. The differences are 1, 2, 2, 2. After the first term, each subsequent term is found by adding 2 to the previous term. Step 3: Apply the pattern to find the next number. The next number is 9 + 2 = 11. The next number is 11. 4. a) Find the square of 3^2. Step 1: Calculate 3^2. 3^2 = 3 × 3 = 9 Step 2: Find the square of the result. Square of 9 = 9^2 = 9 × 9 = 81 The square of 3^2 is 81. b) Calculate sqrt(441) - sqrt(256). Step 1: Calculate sqrt(441). sqrt(441) = 21 Step 2: Calculate sqrt(256). sqrt(256) = 16 Step 3: Subtract the values. 21 - 16 = 5 The result is 5. c) Write 0.75 as a simple fraction. Step 1: Write the decimal as a fraction. 0.75 = (75)/(100) Step 2: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 25. (75 ÷ 25)/(100 ÷ 25) = (3)/(4) The simple fraction is (3)/(4). 5. a) The bus started the journey from Sumbawanga at 1220hours and arrived in Tabora at 1855hours. How long did the bus take to travel from Sumbawanga to Tabora? Step 1: Identify the start and end times. Start time: 12 hours 20 minutes End time: 18 hours 55 minutes Step 2: Subtract the start time from the end time. Subtract minutes: 55 minutes - 20 minutes = 35 minutes. Subtract hours: 18 hours - 12 hours = 6 hours. The bus took 6 hours and 35 minutes. b) A chicken hatches a chick after incubating eggs for 21 days. What is this duration in hours? Step 1: Convert days to hours. There are 24 hours in 1 day. Step 2: Multiply the number of days by 24. 21 days × 24 hoursday = 504 hours The duration in hours is 504 hours.