Convert the weight of tomatoes from a mixed fraction to an improper fraction.

Here are the solutions to the problems: 1. Bari bought 2(1)/(2) kg of tomatoes and he also bought onions that were 3 times the weight of tomatoes. Find the weight of onions. Step 1: Convert the weight of tomatoes from a mixed fraction to an improper fraction. 2(1)/(2) kg = ((2 × 2) + 1)/(2) kg = (5)/(2) kg Step 2: Calculate the weight of onions, which is 3 times the weight of tomatoes. Weight of onions = 3 × (5)/(2) kg = (15)/(2) kg Weight of onions = 7.5 kg The weight of onions is 7.5 kg. 2. Harish had 30 pieces of sweets. If he ate (7)/(10) of them in one week, how many pieces of sweets did he eat? Step 1: Calculate the number of sweets Harish ate. Sweets eaten = (7)/(10) × 30 Sweets eaten = 7 × (30)/(10) Sweets eaten = 7 × 3 Sweets eaten = 21 Harish ate 21 pieces of sweets. 3. In a school, there are 480 children. If (1)/(3) of them are boys, find the number of boys. Step 1: Calculate the number of boys. Number of boys = (1)/(3) × 480 Number of boys = (480)/(3) Number of boys = 160 The number of boys is 160. 4. A student lives 5 km from the school. He travels (3)/(5) km of the total distance by bus and walks the remaining distance. How far does he travel by bus? Step 1: Calculate the distance traveled by bus. Distance by bus = (3)/(5) × 5 km Distance by bus = 3 km The student travels 3 km by bus. 5. A cylindrical rod of length 15(1)/(5) m is cut into 12 pieces. Find the length of each piece. Step 1: Convert the total length of the rod from a mixed fraction to an improper fraction. 15(1)/(5) m = ((15 × 5) + 1)/(5) m = (75 + 1)/(5) m = (76)/(5) m Step 2: Divide the total length by the number of pieces to find the length of each piece. Length of each piece = (76)/(5) m ÷ 12 Length of each piece = (76)/(5) × (1)/(12) m Length of each piece = (76)/(60) m Step 3: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 4. Length of each piece = (76 ÷ 4)/(60 ÷ 4) m = (19)/(15) m Length of each piece = 1(4)/(15) m The length of each piece is (19)/(15) m or 1(4)/(15) m. Send me the next one 📸