What is -2\times 3/2+1/2 ?

The solution to -2\times 3/2+1/2 is -5/2

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-2\times 3/2+1/2

- 2 \cdot \frac{3}{2} + \frac{1}{2}

- \frac{5}{2}

Solution steps

- 2 \cdot \frac{3}{2} + \frac{1}{2}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

- 2 \cdot \frac{3}{2} : - 3

- 2 \cdot \frac{3}{2}

Convert element to fraction:

2 = \frac{2}{1}

= - \frac{2}{1} \cdot \frac{3}{2}

Cross-cancel common factor:

2

= - \frac{3}{1}

Divide the numbers:

\frac{3}{1} = 3

= - 3

= - 3 + \frac{1}{2}

Add and subtract (left to right)

- 3 + \frac{1}{2} : - \frac{5}{2}

- 3 + \frac{1}{2}

- 3 + \frac{1}{2} = - \frac{5}{2}

= - \frac{5}{2}

= - \frac{5}{2}

2^{3} \cdot 4

5 (\frac{3}{2}) + (- 1)

(4 \times 3)^{2} \div 6

6 [8 (2 - 5)^{2} + 3 (5)]

- 5 (- 1)^{2} + 5 (- 1) + 5