What is -3/2 (-2)+4 ?

The solution to -3/2 (-2)+4 is 7

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-3/2 (-2)+4

- \frac{3}{2} (- 2) + 4

7

Solution steps

- \frac{3}{2} (- 2) + 4

Follow the PEMDAS order of operations

Multiply and divide (left to right)

- \frac{3}{2} (- 2) : 3

- \frac{3}{2} (- 2)

Apply rule

- a \cdot (- b) = a \cdot b

- \frac{3}{2} (- 2) = \frac{3}{2} \cdot 2

Convert element to fraction:

2 = \frac{2}{1}

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

Cross-cancel common factor:

2

= \frac{3}{1}

Divide the numbers:

\frac{3}{1} = 3

= 3

= 3 + 4

Add and subtract (left to right)

3 + 4 : 7

3 + 4

3 + 4 = 7

= 7

= 7

4 (- 1) (- 3)^{2}

10 \times 3 + 8 - 4 \times 5

- 3 \times \frac{1}{9} + 1

48 \div 6 \times 2^{2} - (3 + 5)

(\frac{1}{2} + \frac{1}{4}) + \frac{2}{7}