What is -3(2-7)+(1-2 2/3)+6 ?

The solution to -3(2-7)+(1-2 2/3)+6 is 19 1/3

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-3(2-7)+(1-2 2/3)+6

- 3 (2 - 7) + (1 - 2 \frac{2}{3}) + 6

19 \frac{1}{3}

Solution steps

- 3 (2 - 7) + (1 - 2 \frac{2}{3}) + 6

Convert mixed numbers to improper fractions:

2 \frac{2}{3} = \frac{8}{3}

= - 3 (2 - 7) + (1 - \frac{8}{3}) + 6

Follow the PEMDAS order of operations

Calculate within parentheses

(2 - 7) : - 5

= - 3 (- 5) + (1 - \frac{8}{3}) + 6

Calculate within parentheses

(1 - \frac{8}{3}) : - \frac{5}{3}

= - 3 (- 5) - \frac{5}{3} + 6

Multiply and divide (left to right)

- 3 (- 5) : 15

= 15 - \frac{5}{3} + 6

Add and subtract (left to right)

15 - \frac{5}{3} + 6 : \frac{58}{3}

= \frac{58}{3}

Convert improper fractions to mixed numbers:

\frac{58}{3} = 19 \frac{1}{3}

= 19 \frac{1}{3}

3 [6 - 2 (4 - 7) + 2] - 5

3^{3} - 4^{1} + 15 \div 3 \times 4 - 12 \div 3

(4 - 2^{2} \times 2)^{3}

35 + 7 (8 \times 7) - 6

\frac{( - 5 ) ^{9}}{( - 5 ) ^{7}}