Question
Simplify: 3/4 + {5/6 ÷ (2/3 − 1/6)} −
7/8Solution
First, compute the bracket: 2/3 − 1/6 = (4/6 − 1/6) = 3/6 = 1/2 So 5/6 ÷ (2/3 − 1/6) = 5/6 ÷ 1/2 = 5/6 × 2 = 10/6 = 5/3 Now expression = 3/4 + 5/3 − 7/8 Find LCM of 4, 3, 8 = 24 3/4 = 18/24 5/3 = 40/24 7/8 = 21/24 So: 18/24 + 40/24 − 21/24 = (18 + 40 − 21)/24 = 37/24
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