To solve the equation ⁷ᵃ⁄₃ - 2 = ⅓, we need to isolate the variable a.
Step 1: Subtract 2 from both sides of the equation:
⁷ᵃ⁄₃ = ⅓ + 2
⁷ᵃ⁄₃ = 2⅓
Step 2: Convert the mixed number 2⅓ to an improper fraction:
2⅓ = 7/3
Step 3: Substitute 7/3 back into the equation:
⁷ᵃ⁄₃ = 7/3
Step 4: Multiply both sides of the equation by 3:
3 * ⁷ᵃ⁄₃ = 3 * 7/3
7ᵃ = 7
Step 5: Divide both sides of the equation by 7:
7ᵃ/7 = 7/7
a = 1
Therefore, the solution to the equation ⁷ᵃ⁄₃ - 2 = ⅓ is a = 1.
