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Which expression is equivalent to 
7(3)/(4)-(1)/(2) ?
Choose 1 answer:
(A) 
-7(3)/(4)+(-(1)/(2))
(B) 
7(3)/(4)+(-(1)/(2))
(C) 
(1)/(2)+(-7(3)/(4))
(D) 
(1)/(2)+7(3)/(4)

Which expression is equivalent to 73412 7 \frac{3}{4}-\frac{1}{2} ?\newlineChoose 11 answer:\newline(A) 734+(12) -7 \frac{3}{4}+\left(-\frac{1}{2}\right) \newline(B) 734+(12) 7 \frac{3}{4}+\left(-\frac{1}{2}\right) \newline(C) 12+(734) \frac{1}{2}+\left(-7 \frac{3}{4}\right) \newline(D) 12+734 \frac{1}{2}+7 \frac{3}{4}

Full solution

Q. Which expression is equivalent to 73412 7 \frac{3}{4}-\frac{1}{2} ?\newlineChoose 11 answer:\newline(A) 734+(12) -7 \frac{3}{4}+\left(-\frac{1}{2}\right) \newline(B) 734+(12) 7 \frac{3}{4}+\left(-\frac{1}{2}\right) \newline(C) 12+(734) \frac{1}{2}+\left(-7 \frac{3}{4}\right) \newline(D) 12+734 \frac{1}{2}+7 \frac{3}{4}
  1. Understand Original Expression: Understand the original expression.\newlineThe original expression is 7(34)(12)7\left(\frac{3}{4}\right)-\left(\frac{1}{2}\right), which means we have two fractions that we are subtracting from each other.
  2. Simplify Within Parentheses: Simplify the expression within the parentheses. 7(3)/(4)7(3)/(4) simplifies to (21)/(4)(21)/(4) because 77 multiplied by 33 equals 2121.
  3. Rewrite with Simplified Term: Rewrite the original expression with the simplified term.\newlineNow the expression looks like (21)/(4)(1)/(2)(21)/(4)-(1)/(2).
  4. Identify Equivalent Expression: Look at the answer choices and identify which one is equivalent to the simplified expression.\newline(A) 7(34)+((12))-7\left(\frac{3}{4}\right)+\left(-\left(\frac{1}{2}\right)\right) is not equivalent because it introduces a negative sign in front of the first term.\newline(B) 7(34)+((12))7\left(\frac{3}{4}\right)+\left(-\left(\frac{1}{2}\right)\right) is not equivalent because it suggests addition rather than subtraction.\newline(C) (12)+(7(34))\left(\frac{1}{2}\right)+\left(-7\left(\frac{3}{4}\right)\right) is not equivalent because it changes the order of the terms and the signs.\newline(D) (12)+7(34)\left(\frac{1}{2}\right)+7\left(\frac{3}{4}\right) is not equivalent because it suggests addition rather than subtraction.
  5. 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)(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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