Here are the solutions to the problems: a) (i) Divide 24 in the ratio 7:5. a) (ii) Write 24.60 as a fraction of 2870. Give your answer in its lowest terms. a) (iii) Write 1.92 as a percentage of $1.60

Hey 10K, good to see you again. Here are the solutions to the problems: a) (i) Divide 24 in the ratio 7:5. Step 1: Find the total number of parts in the ratio. Total parts = 7 + 5 = 12 Step 2: Calculate the value of one part. Value of one part = (\24)/(12) = \2 Step 3: Distribute the total amount according to the ratio. First share = 7 × \2 = \14 Second share = 5 × \2 = \10 The two amounts are \14 and \10. a) (ii) Write 24.60 as a fraction of 2870. Give your answer in its lowest terms. Step 1: Form the fraction. (24.60)/(2870) Step 2: Remove the decimal by multiplying the numerator and denominator by 10. (24.60 × 10)/(2870 × 10) = (246)/(28700) Step 3: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor. Both are divisible by 2. (246 ÷ 2)/(28700 ÷ 2) = (123)/(14350) Step 4: Find common factors for 123 and 14350. We know 123 = 3 × 41. Let's check if 14350 is divisible by 41. 14350 ÷ 41 = 350 So, we can divide both by 41. (123 ÷ 41)/(14350 ÷ 41) = (3)/(350) The fraction in its lowest terms is (3)/(350). a) (iii) Write 1.92 as a percentage of 1.60. Step 1: Form the fraction of the given amounts. (1.92)/(1.60) Step 2: Convert the fraction to a percentage by multiplying by 100\%. (1.92)/(1.60) × 100\% Step 3: Simplify the fraction and calculate the percentage. (1.92)/(1.60) = (192)/(160) = (12 × 16)/(10 × 16) = (12)/(10) = 1.2 1.2 × 100\% = 120\% The percentage is 120\%. Send me the next one 📸