Solve 45/7-(+5/7+24/9)^2

$$4 \frac { 5 } { 7 } - ( + \frac { 5 } { 7 } + 2 \frac { 4 } { 9 } ) ^ { 2 }$$

Evaluate

$$-\frac{20890}{3969}\approx -5.263290501$$

Solution Steps

Multiply 4 and 7 to get 28.

$$\frac{28+5}{7}-\left(\frac{5}{7}+\frac{2\times 9+4}{9}\right)^{2}$$

Add 28 and 5 to get 33.

$$\frac{33}{7}-\left(\frac{5}{7}+\frac{2\times 9+4}{9}\right)^{2}$$

Multiply 2 and 9 to get 18.

$$\frac{33}{7}-\left(\frac{5}{7}+\frac{18+4}{9}\right)^{2}$$

Add 18 and 4 to get 22.

$$\frac{33}{7}-\left(\frac{5}{7}+\frac{22}{9}\right)^{2}$$

Add \frac{5}{7} and \frac{22}{9} to get \frac{199}{63}.

$$\frac{33}{7}-\left(\frac{199}{63}\right)^{2}$$

Calculate \frac{199}{63} to the power of 2 and get \frac{39601}{3969}.

$$\frac{33}{7}-\frac{39601}{3969}$$

Subtract \frac{39601}{3969} from \frac{33}{7} to get -\frac{20890}{3969}.

$$-\frac{20890}{3969}$$

Factor

$$-\frac{20890}{3969} = -5\frac{1045}{3969} = -5.26329050138574$$