Solve for: (-1)/(2)+(-1)/(2)+(1)/(2)+(-1)/(2)

Expression: $\frac{ -1 }{ 2 }+\frac{ -1 }{ 2 }+\frac{ 1 }{ 2 }+\frac{ -1 }{ 2 }$

Use $\frac{ -a }{ b }=\frac{ a }{ -b }=-\frac{ a }{ b }$ to rewrite the fraction

$-\frac{ 1 }{ 2 }+\frac{ -1 }{ 2 }+\frac{ 1 }{ 2 }+\frac{ -1 }{ 2 }$

The sum of two opposites equals $0$

$0+\frac{ -1 }{ 2 }+\frac{ -1 }{ 2 }$

Removing $0$ doesn't change the value, so remove it from the expression

$\frac{ -1 }{ 2 }+\frac{ -1 }{ 2 }$

Write all numerators above the common denominator

$\frac{ -1-1 }{ 2 }$

Calculate the difference

$\frac{ -2 }{ 2 }$

Use $\frac{ -a }{ b }=\frac{ a }{ -b }=-\frac{ a }{ b }$ to rewrite the fraction

$-\frac{ 2 }{ 2 }$

Any expression divided by itself equals $1$

$-1$

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