Question #76801

LaTeX: \left(3\frac{1}{2}-9\frac{3}{4}\right)\div\left(-2.5\right)

Expert's answer

Answer on Question #76801 – Math – Algebra

Question

1. LaTeX: \left| \left(3 \right) \text{frac}\{1\} \{2\} - 9 \right| \text{frac}\{3\} \{4\} \text{right} \mid \text{div} \left( \left| \text{left}(-2.5) \right| \right) \text{right}

Solution


∣(312−934)÷(−2.5)∣=(72−394)÷(−2.5)=(14−394)÷(−2.5)=(−254)÷(−2.5)==(−6.25)÷(−2.5)=−6.25−2.5=6.252.5=2.5\begin{array}{l} \left| \left(3 \frac {1}{2} - 9 \frac {3}{4}\right) \div (- 2.5) \right| = \left(\frac {7}{2} - \frac {39}{4}\right) \div (- 2.5) = \left(\frac {14 - 39}{4}\right) \div (- 2.5) = \left(\frac {- 25}{4}\right) \div (- 2.5) = \\ = (- 6.25) \div (- 2.5) = \frac {- 6.25}{- 2.5} = \frac {6.25}{2.5} = 2.5 \\ \end{array}


Answer: 2.5.

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