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

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

Evaluate

$$-\frac{1225}{576}\approx -2.126736111$$

Solution Steps

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

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

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

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

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

$$-\frac{49}{36}\times \left(\frac{5}{4}\right)^{2}$$

Calculate \frac{5}{4} to the power of 2 and get \frac{25}{16}.

$$-\frac{49}{36}\times \frac{25}{16}$$

Multiply -\frac{49}{36} and \frac{25}{16} to get -\frac{1225}{576}.

$$-\frac{1225}{576}$$

Factor

$$-\frac{1225}{576} = -2\frac{73}{576} = -2.126736111111111$$