Solve (33/5-21/2)^2=

$$( 3 \frac { 3 } { 5 } - 2 \frac { 1 } { 2 } ) ^ { 2 } =$$

Evaluate

$$\frac{121}{100}=1.21$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\left(\frac{15+3}{5}-\frac{2\times 2+1}{2}\right)^{2}$$

Add 15 and 3 to get 18.

$$\left(\frac{18}{5}-\frac{2\times 2+1}{2}\right)^{2}$$

Multiply 2 and 2 to get 4.

$$\left(\frac{18}{5}-\frac{4+1}{2}\right)^{2}$$

Add 4 and 1 to get 5.

$$\left(\frac{18}{5}-\frac{5}{2}\right)^{2}$$

Subtract \frac{5}{2} from \frac{18}{5} to get \frac{11}{10}.

$$\left(\frac{11}{10}\right)^{2}$$

Calculate \frac{11}{10} to the power of 2 and get \frac{121}{100}.

$$\frac{121}{100}$$

Factor

$$\frac{11 ^ {2}}{2 ^ {2} \cdot 5 ^ {2}} = 1\frac{21}{100} = 1.21$$