What is -5+(-3) 2/3 ?

The solution to -5+(-3) 2/3 is -7

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-5+(-3) 2/3

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

- 7

Solution steps

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

Follow the PEMDAS order of operations

Multiply and divide (left to right)

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

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

Apply rule

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

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

Convert element to fraction:

3 = \frac{3}{1}

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

Cross-cancel common factor:

3

= - \frac{2}{1}

Divide the numbers:

\frac{2}{1} = 2

= - 2

= - 5 - 2

Add and subtract (left to right)

- 5 - 2 : - 7

- 5 - 2

- 5 - 2 = - 7

= - 7

= - 7

2 (- 1)^{2} - 5

2 - \frac{3}{10} - \frac{2}{15}

2 (- 1)^{2} + 1

2 (- 1)^{2} + 2

6 + 3^{2} + (3 \times 2)