Evaluate the expression: 3 ⅛ + 1 ³⁄₂ + 3 ¾ (Note: 1 ³⁄₂ means 1 + ³⁄₂.)
2023
Evaluate the expression:
3 ⅛ + 1 ³⁄₂ + 3 ¾
(Note: 1 ³⁄₂ means 1 + ³⁄₂.)
- A.
8 ³⁄₈
- B.
9 ³⁄₈
- C.
7 ³⁄₈
- D.
9 ⁵⁄₈
- E.
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Correct answer: B
Key idea: Read 1 ³⁄₂ as 1 + ³⁄₂, because the fractional part ³⁄₂ is an improper fraction.
Step 1: Convert 1 ³⁄₂ = 1 + ³⁄₂ = 1 + 1 ¹⁄₂ = 2 ¹⁄₂.
Step 2: Rewrite the expression as 3 ⅛ + 2 ¹⁄₂ + 3 ¾.
Step 3: Add the whole-number parts: 3 + 2 + 3 = 8.
Step 4: Add the fractional parts using denominator 8: ⅛ + ¹⁄₂ + ³⁄₄ = ⅛ + ⁴⁄₈ + ⁶⁄₈ = ¹¹⁄₈ = 1 ³⁄₈.
Final Answer: 8 + 1 ³⁄₈ = 9 ³⁄₈.