Evaluate -1/3+(-8/5)÷5+(-4)(3+-11/5)+3÷(2/3)+(2-3)

$- \frac{1}{3} + - \frac{8}{5} \div 5 + (- 4) (3 + \frac{- 11}{5}) + 3 \div \frac{2}{3} + (2 - 3)$

Remove parentheses.

$- \frac{1}{3} + - \frac{8}{5} \div 5 + (- 4) (3 + \frac{- 11}{5}) + 3 \div \frac{2}{3} + 2 - 3$

Simplify each term.

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Rewrite the division as a fraction.

$- \frac{1}{3} + \frac{- \frac{8}{5}}{5} + (- 4) (3 + \frac{- 11}{5}) + 3 \div \frac{2}{3} + 2 - 3$

Multiply the numerator by the reciprocal of the denominator.

$- \frac{1}{3} - \frac{8}{5} \cdot \frac{1}{5} + (- 4) (3 + \frac{- 11}{5}) + 3 \div \frac{2}{3} + 2 - 3$

Multiply $- \frac{8}{5} \cdot \frac{1}{5}$ .

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Multiply $\frac{1}{5}$ and $\frac{8}{5}$ .

$- \frac{1}{3} - \frac{8}{5 \cdot 5} + (- 4) (3 + \frac{- 11}{5}) + 3 \div \frac{2}{3} + 2 - 3$

Multiply $5$ by $5$ .

$- \frac{1}{3} - \frac{8}{25} + (- 4) (3 + \frac{- 11}{5}) + 3 \div \frac{2}{3} + 2 - 3$

Move the negative in front of the fraction.

$- \frac{1}{3} - \frac{8}{25} - 4 (3 - \frac{11}{5}) + 3 \div \frac{2}{3} + 2 - 3$

To write $3$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- \frac{1}{3} - \frac{8}{25} - 4 (3 \cdot \frac{5}{5} - \frac{11}{5}) + 3 \div \frac{2}{3} + 2 - 3$

Combine $3$ and $\frac{5}{5}$ .

$- \frac{1}{3} - \frac{8}{25} - 4 (\frac{3 \cdot 5}{5} - \frac{11}{5}) + 3 \div \frac{2}{3} + 2 - 3$

Combine the numerators over the common denominator.

$- \frac{1}{3} - \frac{8}{25} - 4 \frac{3 \cdot 5 - 11}{5} + 3 \div \frac{2}{3} + 2 - 3$

Simplify the numerator.

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Multiply $3$ by $5$ .

$- \frac{1}{3} - \frac{8}{25} - 4 \frac{15 - 11}{5} + 3 \div \frac{2}{3} + 2 - 3$

Subtract $11$ from $15$ .

$- \frac{1}{3} - \frac{8}{25} - 4 (\frac{4}{5}) + 3 \div \frac{2}{3} + 2 - 3$

Multiply $- 4 (\frac{4}{5})$ .

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Combine $- 4$ and $\frac{4}{5}$ .

$- \frac{1}{3} - \frac{8}{25} + \frac{- 4 \cdot 4}{5} + 3 \div \frac{2}{3} + 2 - 3$

Multiply $- 4$ by $4$ .

$- \frac{1}{3} - \frac{8}{25} + \frac{- 16}{5} + 3 \div \frac{2}{3} + 2 - 3$

Move the negative in front of the fraction.

$- \frac{1}{3} - \frac{8}{25} - \frac{16}{5} + 3 \div \frac{2}{3} + 2 - 3$

To divide by a fraction, multiply by its reciprocal.

$- \frac{1}{3} - \frac{8}{25} - \frac{16}{5} + 3 (\frac{3}{2}) + 2 - 3$

Multiply $3 (\frac{3}{2})$ .

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Combine $3$ and $\frac{3}{2}$ .

$- \frac{1}{3} - \frac{8}{25} - \frac{16}{5} + \frac{3 \cdot 3}{2} + 2 - 3$

Multiply $3$ by $3$ .

$- \frac{1}{3} - \frac{8}{25} - \frac{16}{5} + \frac{9}{2} + 2 - 3$

To write $- \frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{25}{25}$ .

$- \frac{1}{3} \cdot \frac{25}{25} - \frac{8}{25} - \frac{16}{5} + \frac{9}{2} + 2 - 3$

To write $- \frac{8}{25}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$- \frac{1}{3} \cdot \frac{25}{25} - \frac{8}{25} \cdot \frac{3}{3} - \frac{16}{5} + \frac{9}{2} + 2 - 3$

Write each expression with a common denominator of $75$ , by multiplying each by an appropriate factor of $1$ .

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Multiply $\frac{1}{3}$ and $\frac{25}{25}$ .

$- \frac{25}{3 \cdot 25} - \frac{8}{25} \cdot \frac{3}{3} - \frac{16}{5} + \frac{9}{2} + 2 - 3$

Multiply $3$ by $25$ .

$- \frac{25}{75} - \frac{8}{25} \cdot \frac{3}{3} - \frac{16}{5} + \frac{9}{2} + 2 - 3$

Multiply $\frac{8}{25}$ and $\frac{3}{3}$ .

$- \frac{25}{75} - \frac{8 \cdot 3}{25 \cdot 3} - \frac{16}{5} + \frac{9}{2} + 2 - 3$

Multiply $25$ by $3$ .

$- \frac{25}{75} - \frac{8 \cdot 3}{75} - \frac{16}{5} + \frac{9}{2} + 2 - 3$

Combine the numerators over the common denominator.

$\frac{- 25 - 8 \cdot 3}{75} - \frac{16}{5} + \frac{9}{2} + 2 - 3$

Simplify the numerator.

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Multiply $- 8$ by $3$ .

$\frac{- 25 - 24}{75} - \frac{16}{5} + \frac{9}{2} + 2 - 3$

Subtract $24$ from $- 25$ .

$\frac{- 49}{75} - \frac{16}{5} + \frac{9}{2} + 2 - 3$

Move the negative in front of the fraction.

$- \frac{49}{75} - \frac{16}{5} + \frac{9}{2} + 2 - 3$

To write $- \frac{16}{5}$ as a fraction with a common denominator, multiply by $\frac{15}{15}$ .

$- \frac{49}{75} - \frac{16}{5} \cdot \frac{15}{15} + \frac{9}{2} + 2 - 3$

Write each expression with a common denominator of $75$ , by multiplying each by an appropriate factor of $1$ .

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Multiply $\frac{16}{5}$ and $\frac{15}{15}$ .

$- \frac{49}{75} - \frac{16 \cdot 15}{5 \cdot 15} + \frac{9}{2} + 2 - 3$

Multiply $5$ by $15$ .

$- \frac{49}{75} - \frac{16 \cdot 15}{75} + \frac{9}{2} + 2 - 3$

Combine the numerators over the common denominator.

$\frac{- 49 - 16 \cdot 15}{75} + \frac{9}{2} + 2 - 3$

Simplify the numerator.

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Multiply $- 16$ by $15$ .

$\frac{- 49 - 240}{75} + \frac{9}{2} + 2 - 3$

Subtract $240$ from $- 49$ .

$\frac{- 289}{75} + \frac{9}{2} + 2 - 3$

Find the common denominator.

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Multiply $\frac{- 289}{75}$ by $\frac{2}{2}$ .

$\frac{- 289}{75} \cdot \frac{2}{2} + \frac{9}{2} + 2 - 3$

Combine.

$\frac{- 289 \cdot 2}{75 \cdot 2} + \frac{9}{2} + 2 - 3$

Multiply $\frac{9}{2}$ by $\frac{75}{75}$ .

$\frac{- 289 \cdot 2}{75 \cdot 2} + \frac{9}{2} \cdot \frac{75}{75} + 2 - 3$

Combine.

$\frac{- 289 \cdot 2}{75 \cdot 2} + \frac{9 \cdot 75}{2 \cdot 75} + 2 - 3$

Write $2$ as a fraction with denominator $1$ .

$\frac{- 289 \cdot 2}{75 \cdot 2} + \frac{9 \cdot 75}{2 \cdot 75} + \frac{2}{1} - 3$

Multiply $\frac{2}{1}$ by $\frac{150}{150}$ .

$\frac{- 289 \cdot 2}{75 \cdot 2} + \frac{9 \cdot 75}{2 \cdot 75} + \frac{2}{1} \cdot \frac{150}{150} - 3$

Multiply $\frac{2}{1}$ and $\frac{150}{150}$ .

$\frac{- 289 \cdot 2}{75 \cdot 2} + \frac{9 \cdot 75}{2 \cdot 75} + \frac{2 \cdot 150}{150} - 3$

Write $- 3$ as a fraction with denominator $1$ .

$\frac{- 289 \cdot 2}{75 \cdot 2} + \frac{9 \cdot 75}{2 \cdot 75} + \frac{2 \cdot 150}{150} + \frac{- 3}{1}$

Multiply $\frac{- 3}{1}$ by $\frac{150}{150}$ .

$\frac{- 289 \cdot 2}{75 \cdot 2} + \frac{9 \cdot 75}{2 \cdot 75} + \frac{2 \cdot 150}{150} + \frac{- 3}{1} \cdot \frac{150}{150}$

Multiply $\frac{- 3}{1}$ and $\frac{150}{150}$ .

$\frac{- 289 \cdot 2}{75 \cdot 2} + \frac{9 \cdot 75}{2 \cdot 75} + \frac{2 \cdot 150}{150} + \frac{- 3 \cdot 150}{150}$

Reorder the factors of $75 \cdot 2$ .

$\frac{- 289 \cdot 2}{2 \cdot 75} + \frac{9 \cdot 75}{2 \cdot 75} + \frac{2 \cdot 150}{150} + \frac{- 3 \cdot 150}{150}$

Multiply $2$ by $75$ .

$\frac{- 289 \cdot 2}{150} + \frac{9 \cdot 75}{2 \cdot 75} + \frac{2 \cdot 150}{150} + \frac{- 3 \cdot 150}{150}$

Multiply $2$ by $75$ .

$\frac{- 289 \cdot 2}{150} + \frac{9 \cdot 75}{150} + \frac{2 \cdot 150}{150} + \frac{- 3 \cdot 150}{150}$

Combine fractions.

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Combine fractions with similar denominators.

$\frac{- 289 \cdot 2 + 9 \cdot 75 + 2 \cdot 150 - 3 \cdot 150}{150}$

Multiply.

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Multiply $- 289$ by $2$ .

$\frac{- 578 + 9 \cdot 75 + 2 \cdot 150 - 3 \cdot 150}{150}$

Multiply $9$ by $75$ .

$\frac{- 578 + 675 + 2 \cdot 150 - 3 \cdot 150}{150}$

Multiply $2$ by $150$ .

$\frac{- 578 + 675 + 300 - 3 \cdot 150}{150}$

Multiply $- 3$ by $150$ .

$\frac{- 578 + 675 + 300 - 450}{150}$

Simplify the numerator.

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Add $- 578$ and $675$ .

$\frac{97 + 300 - 450}{150}$

Add $97$ and $300$ .

$\frac{397 - 450}{150}$

Subtract $450$ from $397$ .

$\frac{- 53}{150}$

Move the negative in front of the fraction.

$- \frac{53}{150}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{53}{150}$

Decimal Form:

$- 0.35\overline{3}$

Evaluate -1/3+(-8/5)÷5+(-4)(3+-11/5)+3÷(2/3)+(2-3)

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