Question
Simplify: (5/6 + 3/4) ÷ (7/8 −
1/3)Solution
Numerator: 5/6 + 3/4 LCM(6,4) = 12 5/6 = 10/12, 3/4 = 9/12 Sum = (10 + 9)/12 = 19/12 Denominator: 7/8 − 1/3 LCM(8,3) = 24 7/8 = 21/24, 1/3 = 8/24 Difference = (21 − 8)/24 = 13/24 Expression = (19/12) ÷ (13/24) = (19/12) × (24/13) = 19 × 2 / 13 = 38/13 Answer: 38/13.
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