Q. Which expression is equivalent to 743−21 ?Choose 1 answer:(A) −743+(−21)(B) 743+(−21)(C) 21+(−743)(D) 21+743
Understand Original Expression: Understand the original expression.The original expression is 7(43)−(21), which means we have two fractions that we are subtracting from each other.
Simplify Within Parentheses: Simplify the expression within the parentheses. 7(3)/(4) simplifies to (21)/(4) because 7 multiplied by 3 equals 21.
Rewrite with Simplified Term: Rewrite the original expression with the simplified term.Now the expression looks like (21)/(4)−(1)/(2).
Identify Equivalent Expression: Look at the answer choices and identify which one is equivalent to the simplified expression.(A) −7(43)+(−(21)) is not equivalent because it introduces a negative sign in front of the first term.(B) 7(43)+(−(21)) is not equivalent because it suggests addition rather than subtraction.(C) (21)+(−7(43)) is not equivalent because it changes the order of the terms and the signs.(D) (21)+7(43) is not equivalent because it suggests addition rather than subtraction.
No Matching Answer Choices: Realize that none of the provided answer choices match the simplified expression. The correct equivalent expression to (21)/(4)−(1)/(2) is not listed among the choices. There might be an error in the question or the answer choices.
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