What is -5+(-2) 1/3 ?

The solution to -5+(-2) 1/3 is -17/3

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-5+(-2) 1/3

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

- \frac{17}{3}

Solution steps

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

Follow the PEMDAS order of operations

Multiply and divide (left to right)

(- 2) \frac{1}{3} : - \frac{2}{3}

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

Apply rule

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

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

Convert element to fraction:

2 = \frac{2}{1}

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

Apply the fraction rule:

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

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

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

Multiply the numbers:

2 \cdot 1 = 2

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

Multiply the numbers:

1 \cdot 3 = 3

= - \frac{2}{3}

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

Add and subtract (left to right)

- 5 - \frac{2}{3} : - \frac{17}{3}

- 5 - \frac{2}{3}

- 5 - \frac{2}{3} = - \frac{17}{3}

= - \frac{17}{3}

= - \frac{17}{3}

(\frac{25}{3} - \frac{5}{15})^{2}

6 (\frac{1}{2}) ((- 1)^{2} (2))

(- 5) (7 (3 - 2) + 11) + 9 (- 1 (- 2 + 4) + 21)

- 7 + 4 + (- 2) + 8

- [98 + (- 67) - (32) + (- 12) - 5]