Solve 3*22/3-(11/6)^2=

$$3 \cdot 2 \frac { 2 } { 3 } - ( 1 \frac { 1 } { 6 } ) ^ { 2 } =$$

Evaluate

$$\frac{239}{36}\approx 6.638888889$$

Solution Steps

Multiply 2 and 3 to get 6.

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

Add 6 and 2 to get 8.

$$3\times \frac{8}{3}-\left(\frac{1\times 6+1}{6}\right)^{2}$$

Multiply 3 and \frac{8}{3} to get 8.

$$8-\left(\frac{1\times 6+1}{6}\right)^{2}$$

Multiply 1 and 6 to get 6.

$$8-\left(\frac{6+1}{6}\right)^{2}$$

Add 6 and 1 to get 7.

$$8-\left(\frac{7}{6}\right)^{2}$$

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

$$8-\frac{49}{36}$$

Subtract \frac{49}{36} from 8 to get \frac{239}{36}.

$$\frac{239}{36}$$

Factor

$$\frac{239}{2 ^ {2} \cdot 3 ^ {2}} = 6\frac{23}{36} = 6.638888888888889$$