Solve 1:(3/2)^2+(2-1/4)^2:(1/2+1/3-frac{1}{60})*2-(1-frac{1}{6})=

$$1 : ( \frac { 3 } { 2 } ) ^ { 2 } + ( 2 - \frac { 1 } { 4 } ) ^ { 2 } : ( \frac { 1 } { 2 } + \frac { 1 } { 3 } - \frac { 1 } { 60 } ) \times 2 - ( 1 - \frac { 1 } { 6 } ) =$$

Evaluate

$$\frac{64}{9}\approx 7.111111111$$

Solution Steps

Calculate \frac{3}{2} to the power of 2 and get \frac{9}{4}.

$$\frac{1}{\frac{9}{4}}+\frac{\left(2-\frac{1}{4}\right)^{2}}{\frac{1}{2}+\frac{1}{3}-\frac{1}{60}}\times 2-\left(1-\frac{1}{6}\right)$$

Divide 1 by \frac{9}{4} by multiplying 1 by the reciprocal of \frac{9}{4}.

$$1\times \frac{4}{9}+\frac{\left(2-\frac{1}{4}\right)^{2}}{\frac{1}{2}+\frac{1}{3}-\frac{1}{60}}\times 2-\left(1-\frac{1}{6}\right)$$

Multiply 1 and \frac{4}{9} to get \frac{4}{9}.

$$\frac{4}{9}+\frac{\left(2-\frac{1}{4}\right)^{2}}{\frac{1}{2}+\frac{1}{3}-\frac{1}{60}}\times 2-\left(1-\frac{1}{6}\right)$$

Subtract \frac{1}{4} from 2 to get \frac{7}{4}.

$$\frac{4}{9}+\frac{\left(\frac{7}{4}\right)^{2}}{\frac{1}{2}+\frac{1}{3}-\frac{1}{60}}\times 2-\left(1-\frac{1}{6}\right)$$

Calculate \frac{7}{4} to the power of 2 and get \frac{49}{16}.

$$\frac{4}{9}+\frac{\frac{49}{16}}{\frac{1}{2}+\frac{1}{3}-\frac{1}{60}}\times 2-\left(1-\frac{1}{6}\right)$$

Add \frac{1}{2} and \frac{1}{3} to get \frac{5}{6}.

$$\frac{4}{9}+\frac{\frac{49}{16}}{\frac{5}{6}-\frac{1}{60}}\times 2-\left(1-\frac{1}{6}\right)$$

Subtract \frac{1}{60} from \frac{5}{6} to get \frac{49}{60}.

$$\frac{4}{9}+\frac{\frac{49}{16}}{\frac{49}{60}}\times 2-\left(1-\frac{1}{6}\right)$$

Divide \frac{49}{16} by \frac{49}{60} by multiplying \frac{49}{16} by the reciprocal of \frac{49}{60}.

$$\frac{4}{9}+\frac{49}{16}\times \frac{60}{49}\times 2-\left(1-\frac{1}{6}\right)$$

Multiply \frac{49}{16} and \frac{60}{49} to get \frac{15}{4}.

$$\frac{4}{9}+\frac{15}{4}\times 2-\left(1-\frac{1}{6}\right)$$

Multiply \frac{15}{4} and 2 to get \frac{15}{2}.

$$\frac{4}{9}+\frac{15}{2}-\left(1-\frac{1}{6}\right)$$

Add \frac{4}{9} and \frac{15}{2} to get \frac{143}{18}.

$$\frac{143}{18}-\left(1-\frac{1}{6}\right)$$

Subtract \frac{1}{6} from 1 to get \frac{5}{6}.

$$\frac{143}{18}-\frac{5}{6}$$

Subtract \frac{5}{6} from \frac{143}{18} to get \frac{64}{9}.

$$\frac{64}{9}$$

Factor

$$\frac{2 ^ {6}}{3 ^ {2}} = 7\frac{1}{9} = 7.111111111111111$$