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

$$- ( \frac { 2 } { 3 } + \frac { 2 } { 4 } ) ^ { 2 } * ( \frac { 1 } { 2 } + \frac { 3 } { 4 } )$$

Evaluate

$$-\frac{245}{144}\approx -1.701388889$$

Solution Steps

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\left(-\left(\frac{2}{3}+\frac{1}{2}\right)^{2}\right)\left(\frac{1}{2}+\frac{3}{4}\right)$$

Add \frac{2}{3} and \frac{1}{2} to get \frac{7}{6}.

$$\left(-\left(\frac{7}{6}\right)^{2}\right)\left(\frac{1}{2}+\frac{3}{4}\right)$$

Calculate \frac{7}{6} to the power of 2 and get \frac{49}{36}.

$$-\frac{49}{36}\left(\frac{1}{2}+\frac{3}{4}\right)$$

Add \frac{1}{2} and \frac{3}{4} to get \frac{5}{4}.

$$-\frac{49}{36}\times \frac{5}{4}$$

Multiply -\frac{49}{36} and \frac{5}{4} to get -\frac{245}{144}.

$$-\frac{245}{144}$$

Factor

$$-\frac{245}{144} = -1\frac{101}{144} = -1.7013888888888888$$