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Fractions
· Formula🧮 Formula Reference Sheet
Add same denom: a/c + b/c = (a+b)/c Add diff denom: a/b + c/d = (ad+bc)/bd Multiply: (a/b) × (c/d) = ac/bd Divide: (a/b) ÷ (c/d) = (a/b) × (d/c) Simplify: divide both by GCD
⚡ Example per formula
Add same denom: a/c + b/c = (a+b)/c
↳1/4 + 2/4 = 3/4
Add diff denom: a/b + c/d = (ad+bc)/bd
↳1/2 + 1/3 = 3/6 + 2/6 = 5/6
Multiply: (a/b) × (c/d) = ac/bd
↳2/3 × 9/4 = 18/12 = 3/2
Divide: (a/b) ÷ (c/d) = (a/b) × (d/c)
↳3/4 ÷ 1/2 = 3/4 × 2 = 3/2
Simplify: divide both by GCD
↳18/24 ÷ 6 = 3/4
✏️ Worked Example
Add: 1/3 + 1/6
👁 Show step-by-step solution
1/3 = 2/6, then 2/6 + 1/6 = 3/6 = 1/2. ✅ Answer: 1/2
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