Simplify (3/4 + 1/3) x 41/3 + 31/4

Assessment: WAEC SSCE - General Mathematics - 1992 (Objective) Subject: General Mathematics

Question 1 Report

Simplify (3/4 + 1/3) x 41/3 + 31/4
Answer Details
To simplify this expression, we need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction (PEMDAS). First, we can simplify the expression inside the parentheses: (3/4 + 1/3) x 41/3 + 31/4 = (9/12 + 4/12) x 41/3 + 31/4 = 13/12 x 41/3 + 31/4 Next, we can simplify the exponent 41/3. To do this, we can convert the mixed number to an improper fraction: 41/3 = (4 x 3) + 1/3 = 13/3 Now we can substitute the value of 41/3 into the expression: 13/12 x 41/3 + 31/4 = 13/12 x 13/3 + 13/4 To simplify this, we can first simplify the multiplication of fractions: 13/12 x 13/3 = 169/36 Now we can add the two fractions: 169/36 + 13/4 = 169/36 + 39/36 = 208/36 = 13}{9 Therefore, the simplified expression is 13}{9, which corresponds to option (E).
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