Algebra Examples

$(- 11 - 6 - - 5 + 1 + 3 \times 2) \div (- 5)$

Step 1

Replace all occurrences of $-$ $-$ with a single $+$ . Two consecutive minus signs have the same mathematical meaning as a single plus sign because $- 1 \cdot - 1 = 1$

$(- 11 - 6 + 5 + 1 + 3 \cdot 2) \div (- 5)$

Step 2

Rewrite the division as a fraction.

$\frac{- 11 - 6 + 5 + 1 + 3 \cdot 2}{- 5}$

Step 3

Simplify the numerator.

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Step 3.1

Multiply $3$ by $2$ .

$\frac{- 11 - 6 + 5 + 1 + 6}{- 5}$

Step 3.2

Subtract $6$ from $- 11$ .

$\frac{- 17 + 5 + 1 + 6}{- 5}$

Step 3.3

Add $- 17$ and $5$ .

$\frac{- 12 + 1 + 6}{- 5}$

Step 3.4

Add $- 12$ and $1$ .

$\frac{- 11 + 6}{- 5}$

Step 3.5

Add $- 11$ and $6$ .

$\frac{- 5}{- 5}$

Step 4

Divide $- 5$ by $- 5$ .

$1$