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Which expression has the same value as 
-3(1)/(2)+(-7(3)/(5)) ?

-3(1)/(2)-7(3)/(5)

-7(3)/(5)-(-3(1)/(2))

7(3)/(5)-(-3(1)/(2))

-3(1)/(2)-(-7(3)/(5))

Which expression has the same value as 312+(735) -3 \frac{1}{2}+\left(-7 \frac{3}{5}\right) ?\newline312735 -3 \frac{1}{2}-7 \frac{3}{5} \newline735(312) -7 \frac{3}{5}-\left(-3 \frac{1}{2}\right) \newline735(312) 7 \frac{3}{5}-\left(-3 \frac{1}{2}\right) \newline312(735) -3 \frac{1}{2}-\left(-7 \frac{3}{5}\right)

Full solution

Q. Which expression has the same value as 312+(735) -3 \frac{1}{2}+\left(-7 \frac{3}{5}\right) ?\newline312735 -3 \frac{1}{2}-7 \frac{3}{5} \newline735(312) -7 \frac{3}{5}-\left(-3 \frac{1}{2}\right) \newline735(312) 7 \frac{3}{5}-\left(-3 \frac{1}{2}\right) \newline312(735) -3 \frac{1}{2}-\left(-7 \frac{3}{5}\right)
  1. Understand the problem: Understand the problem.\newlineWe need to find which expression is equivalent to the given expression 3(12)+(7(35))-3\left(\frac{1}{2}\right)+\left(-7\left(\frac{3}{5}\right)\right).
  2. Analyze the given expressions: Analyze the given expressions.\newlineWe have four options:\newlineA) 3(12)7(35)-3\left(\frac{1}{2}\right)-7\left(\frac{3}{5}\right)\newlineB) 7(35)(3(12))-7\left(\frac{3}{5}\right)-\left(-3\left(\frac{1}{2}\right)\right)\newlineC) 7(35)(3(12))7\left(\frac{3}{5}\right)-\left(-3\left(\frac{1}{2}\right)\right)\newlineD) 3(12)(7(35))-3\left(\frac{1}{2}\right)-\left(-7\left(\frac{3}{5}\right)\right)\newlineWe need to determine which of these is equivalent to the original expression.
  3. Compare with option A: Compare the original expression with option A.\newlineThe original expression is 3(12)+(7(35))-3\left(\frac{1}{2}\right)+\left(-7\left(\frac{3}{5}\right)\right), and option A is 3(12)7(35)-3\left(\frac{1}{2}\right)-7\left(\frac{3}{5}\right).\newlineOption A has a minus sign instead of a plus sign between the two terms, so it is not equivalent to the original expression.
  4. Compare with option B: Compare the original expression with option B.\newlineOption B is 7(35)(3(12))-7\left(\frac{3}{5}\right)-\left(-3\left(\frac{1}{2}\right)\right), which simplifies to 7(35)+3(12)-7\left(\frac{3}{5}\right)+3\left(\frac{1}{2}\right) after changing the minus of a minus to a plus.\newlineThis is not the same as the original expression because the terms are in reverse order and the signs are different.
  5. Compare with option C: Compare the original expression with option C.\newlineOption C is 7(35)(3(12))7\left(\frac{3}{5}\right)-\left(-3\left(\frac{1}{2}\right)\right), which simplifies to 7(35)+3(12)7\left(\frac{3}{5}\right)+3\left(\frac{1}{2}\right).\newlineThis is not the same as the original expression because the first term has a different sign.
  6. Compare with option D: Compare the original expression with option D.\newlineOption D is 3(12)(7(35))-3\left(\frac{1}{2}\right)-\left(-7\left(\frac{3}{5}\right)\right), which simplifies to 3(12)+7(35)-3\left(\frac{1}{2}\right)+7\left(\frac{3}{5}\right) after changing the minus of a minus to a plus.\newlineThis is not the same as the original expression because the second term has a different sign.

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