Solve 5/12+3/2*(-1/2)

$$\frac { 5 } { 12 } + \frac { 3 } { 2 } \times ( - \frac { 1 } { 2 } )$$

Evaluate

$$-\frac{1}{3}\approx -0.333333333$$

Solution Steps

Multiply \frac{3}{2} times -\frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{12}+\frac{3\left(-1\right)}{2\times 2}$$

Do the multiplications in the fraction \frac{3\left(-1\right)}{2\times 2}.

$$\frac{5}{12}+\frac{-3}{4}$$

Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.

$$\frac{5}{12}-\frac{3}{4}$$

Least common multiple of 12 and 4 is 12. Convert \frac{5}{12} and \frac{3}{4} to fractions with denominator 12.

$$\frac{5}{12}-\frac{9}{12}$$

Since \frac{5}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-9}{12}$$

Subtract 9 from 5 to get -4.

$$\frac{-4}{12}$$

Reduce the fraction \frac{-4}{12} to lowest terms by extracting and canceling out 4.

$$-\frac{1}{3}$$

Factor

$$-\frac{1}{3} = -0.3333333333333333$$