1/3 + 1/5 + 1/x = 1/8, find x
2024
1/3 + 1/5 + 1/x = 1/8, find x
- A.
123/43
- B.
121/49
- C.
120/49
- D.
25/46
Attempted by 5 students.
Show answer & explanation
Correct answer: C
Final answer: x = -120/49
Compute 1/3 + 1/5 = 8/15.
Rearrange: 1/x = 1/8 - 8/15 = (15 - 64)/120 = -49/120.
Invert to find x: x = -120/49.
Common mistake: Forgetting the negative sign. While 120/49 matches the magnitude, the correct value is negative: -120/49.