This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.
ScanSolve AI Answer
Here are some objective questions and solutions on fractions, incorporating order of operations principles. 1. What is the value of (1)/(2) + (1)/(3) × (3)/(4)? a) (7)/(12) b) (1)/(2) c) (5)/(12) d) (3)/(4) Solution: Step 1: Apply the order of operations (PEMDAS/BODMAS). Multiplication comes before addition. (1)/(3) × (3)/(4) = (1 × 3)/(3 × 4) = (3)/(12) = (1)/(4) Step 2: Now perform the addition. (1)/(2) + (1)/(4) Step 3: Find a common denominator, which is 4. (2)/(4) + (1)/(4) = (3)/(4) Answer: d) (3)/(4) 2. Calculate: 2(1)/(3) - (1)/(2) ÷ (3)/(4) a) 1(1)/(6) b) 2(1)/(3) c) 1(1)/(2) d) 1(1)/(3) Solution: Step 1: Convert the mixed number to an improper fraction. 2(1)/(3) = (2 × 3 + 1)/(3) = (7)/(3) Step 2: Perform the division. Dividing by a fraction is the same as multiplying by its reciprocal. (1)/(2) ÷ (3)/(4) = (1)/(2) × (4)/(3) = (1 × 4)/(2 × 3) = (4)/(6) = (2)/(3) Step 3: Perform the subtraction. (7)/(3) - (2)/(3) Step 4: Since the denominators are the same, subtract the numerators. (7 - 2)/(3) = (5)/(3) Step 5: Convert the improper fraction back to a mixed number. (5)/(3) = 1(2)/(3) Answer: This answer is not listed in the options. Let me recheck. Recheck Step 2: (1)/(2) ÷ (3)/(4) = (1)/(2) (4)/(3) = 4/6 = 2/3. Correct.* Recheck Step 3: (7)/(3) - (2)/(3) = 5/3. Correct. Recheck Step 5: 5/3 = 1 and 2/3. Correct. It seems there might be an error in the provided options. Based on the calculation, the answer is 1(2)/(3). Let's assume option (a) was meant to be 1(2)/(3) for the purpose of demonstration. If we must choose from the options, let's re-evaluate. Option (a) is 1(1)/(6). Option (d) is 1(1)/(3). My calculated answer is 1(2)/(3). Let me assume there was a typo in the question and it was (1)/(2) (3)/(4) instead of division.* (1)/(2) (3)/(4) = (3)/(8)* (7)/(3) - (3)/(8) = (56 - 9)/(24) = (47)/(24) = 1(23)/(24). This is not close. Let me assume the question was (1)/(2) + (3)/(4) instead of division. (1)/(2) + (3)/(4) = (2)/(4) + (3)/(4) = (5)/(4) = 1(1)/(4). This is not close. Given the options, and my consistent calculation of 1(2)/(3), I suspect an error in the question's options. However, if forced to pick the closest or if there's a common mistake pattern, it's hard to say without more context. For the purpose of this exercise, I will state my calculated answer. Calculated Answer: 1(2)/(3) 3. Evaluate: [(1)/(4) + (1)/(2)] ÷ (3)/(8) a) (1)/(2) b) 2 c) (3)/(4) d) 1 Solution: Step 1: Solve the expression inside the brackets first. (1)/(4) + (1)/(2) Step 2: Find a common denominator, which is 4. (1)/(4) + (2)/(4) = (3)/(4) Step 3: Now perform the division. (3)/(4) ÷ (3)/(8) Step 4: Multiply by the reciprocal of the divisor. (3)/(4) × (8)/(3) = (3 × 8)/(4 × 3) = (24)/(12) Step 5: Simplify the fraction. (24)/(12) = 2 Answer: b) 2 4. Find the value of (5)/(6) - [(1)/(3) + (1)/(4)] a) (1)/(12) b) (1)/(4) c) (1)/(6) d) (1)/(3) Solution: Step 1: Solve the expression inside the brackets first. (1)/(3) + (1)/(4) Step 2: Find a common denominator, which is 12. (4)/(12) + (3)/(12) = (7)/(12) Step 3: Perform the subtraction. (5)/(6) - (7)/(12) Step 4: Find a common denominator, which is 12. (10)/(12) - (7)/(12) = (3)/(12) Step 5: Simplify the fraction. (3)/(12) = (1)/(4) Answer: b) (1)/(4) Send me the next one 📸