Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.
Level 1 · Warm-up
1 Evaluate: −1/2 + 1/2
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A number plus its opposite is always 0.
2 Evaluate: 1/4 + 2/4
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Same denominators — add the tops: (1 + 2)/4 = 3/4.
3 Evaluate: −2 × 3/4
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−2 is −2/1. Multiply across: −6/4 = −3/2 (= −1.5).
Level 2 · Core
4 Evaluate: −2/3 + 1/6
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Common denominator 6: −4/6 + 1/6 = −3/6 = −1/2.
5 Evaluate: 3/5 × (−10/9)
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Sign → negative. Cancel: 3 into 9, 5 into 10: (1 × 2)/(1 × 3) = 2/3. Answer −2/3.
6 Evaluate: −1/2 ÷ 1/4
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Keep-change-flip: −1/2 × 4/1 = −4/2 = −2. (How many quarters in a half? Two — and the sign is negative.)
Level 3 · Challenge
7 Evaluate: −5/6 ÷ (−2/3)
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Keep-change-flip: −5/6 × (−3/2). Signs: (−)(−) → +. Cancel 3 into 6: 5/(2×2) = 5/4.
8 Evaluate: 1/2 − 3/4 × (−2/3)
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× first: 3/4 × (−2/3) = −1/2. Then 1/2 − (−1/2) = 1/2 + 1/2 = 1.
9 Evaluate: (−2/3)² + 1/3 × (−1/2)
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Orders: (−2/3)² = 4/9. Then ×: 1/3 × (−1/2) = −1/6. Common denominator 18: 8/18 − 3/18 = 5/18.