Evaluate the numerical value of the expression: (2/3 + 3/4) / (5/6 - 1/2).
Answer and explanation
Correct answer: B. 17/4
- Step 1: Numerator: 2/3 + 3/4 = (8 + 9) / 12 = 17/12. Denominator: 5/6 - 1/2 = 5/6 - 3/6 = 2/6 = 1/3. Step 2. Divide: (17/12) / (1/3) = (17/12) 3 = 17/4. Answer: 17/4. Why not the others:* 17/12 is the numerator alone; 7/4 subtracts 10; 13/4 is an arithmetic error in fractions addition.
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