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 Write 2⅚ as an improper fraction.
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2 × 6 + 5 = 17 → 17/6.
2 Compute: −1/4 + 3/4
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Same bottoms: (−1 + 3)/4 = 2/4 = 1/2.
3 Compute: −2/3 × 6/8 (simplify fully)
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Cancel: 2 with 8, 3 with 6 → −(1×3)/(1×… ) — cleanly: −12/24 = −1/2.
Level 2 · Core
4 Compute: 1½ − 2⅔ (as a fraction like -7/6)
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9/6 − 16/6 = −7/6 = −1⅙.
5 Compute: −3/8 ÷ 9/4
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−3/8 × 4/9: cancel → −1/6.
6 Find ⅜ of 72.
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72 ÷ 8 = 9, × 3 = 27.
Level 3 · Challenge
7 ⅗ of a number is 36. What is the number?
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One fifth = 12, whole = 5 × 12 = 60.
8 Compute: 2¼ × (−2⅔)
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9/4 × (−8/3): cancel → −(9×8)/(4×3) = −72/12 = −6.
9 Compute: (1/2 + 1/3) ÷ (−5/6)
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Brackets: 5/6. Then 5/6 × (−6/5) = −1.