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

The solution to -5+(-2) 2/3 is -19/3

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-5+(-2) 2/3

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

- \frac{19}{3}

Solution steps

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

Follow the PEMDAS order of operations

Multiply and divide (left to right)

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

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

Apply rule

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

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

Convert element to fraction:

2 = \frac{2}{1}

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

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

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

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

Multiply the numbers:

2 \cdot 2 = 4

= - \frac{4}{1 \cdot 3}

Multiply the numbers:

1 \cdot 3 = 3

= - \frac{4}{3}

= - 5 - \frac{4}{3}

Add and subtract (left to right)

- 5 - \frac{4}{3} : - \frac{19}{3}

- 5 - \frac{4}{3}

- 5 - \frac{4}{3} = - \frac{19}{3}

= - \frac{19}{3}

= - \frac{19}{3}

\frac{8}{3} - 8 + 6

2^{5} \cdot 3^{3}

6^{2} - 7 (8 + 6 - 3^{2})

1 7^{2} + 1 5^{2}

3 (- 1)^{1} + 5 - 1