What is expand-1/3+(-1) ?

The solution to expand-1/3+(-1) is -4/3

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expand-1/3+(-1)

expand

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

- \frac{4}{3}

Decimal Notation

- 1.33333 \dots

Solution steps

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

Remove parentheses:

(- a) = - a

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

Convert element to fraction:

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

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

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

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

- 1 \cdot 3 - 1 = - 4

= \frac{- 4}{3}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{4}{3}

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