Solve 2/3+(-1/2)=-1/6

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

Verify

Solution Steps

Least common multiple of 3 and 2 is 6. Convert \frac{2}{3} and \frac{1}{2} to fractions with denominator 6.

$$\frac{4}{6}-\frac{3}{6}=\frac{-1}{6}$$

Since \frac{4}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-3}{6}=\frac{-1}{6}$$

Subtract 3 from 4 to get 1.

$$\frac{1}{6}=\frac{-1}{6}$$

Fraction \frac{-1}{6} can be rewritten as -\frac{1}{6} by extracting the negative sign.

$$\frac{1}{6}=-\frac{1}{6}$$

Compare \frac{1}{6} and -\frac{1}{6}.

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