Evaluate 3 2/3 – 3 1/3 ÷ 3 2/3 (4 1/3 + 2 1/3)

Source: JAMB · 2023

Evaluate 3 2/3 – 3 1/3 ÷ 3 2/3 (4 1/3 + 2 1/3)

  1. ³⁄₂₂₀
  2. 3 ³⁵⁄₆₆ ✓
  3. -2 ¹³⁄₃₃
  4. None of the above
Explanation

First add inside the bracket: 4⅓ + 2⅓ = 6⅔ = 20/3.

The number written directly before the bracket is joined to it, so the divisor is the whole term 3⅔(4⅓ + 2⅓) = 11/3 × 20/3 = 220/9.

Divide: 3⅓ ÷ 220/9 = 10/3 × 9/220 = 90/660 = 3/22. Then subtract: 3⅔ − 3/22 = 242/66 − 9/66 = 233/66 = 3 35/66.

The tempting −2 13/33 comes from dividing by 3⅔ alone and then multiplying the result by the bracket.

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