Solve (1/2)*(-1/4+8/3)

$$( \frac { 1 } { 2 } ) \cdot ( - \frac { 1 } { 4 } + \frac { 8 } { 3 } )$$

Evaluate

$$\frac{29}{24}\approx 1.208333333$$

Solution Steps

Least common multiple of 4 and 3 is 12. Convert -\frac{1}{4} and \frac{8}{3} to fractions with denominator 12.

$$\frac{1}{2}\left(-\frac{3}{12}+\frac{32}{12}\right)$$

Since -\frac{3}{12} and \frac{32}{12} have the same denominator, add them by adding their numerators.

$$\frac{1}{2}\times \frac{-3+32}{12}$$

Add -3 and 32 to get 29.

$$\frac{1}{2}\times \frac{29}{12}$$

Multiply \frac{1}{2} times \frac{29}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 29}{2\times 12}$$

Do the multiplications in the fraction \frac{1\times 29}{2\times 12}.

$$\frac{29}{24}$$

Factor

$$\frac{29}{2 ^ {3} \cdot 3} = 1\frac{5}{24} = 1.2083333333333333$$