Solve (-21/2)(-21/2)div(5)=

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

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

Multiply -\frac{2\times 2+1}{2} and -\frac{2\times 2+1}{2} to get \left(-\frac{2\times 2+1}{2}\right)^{2}.

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

Multiply 2 and 2 to get 4.

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

Add 4 and 1 to get 5.

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

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

$$\frac{\frac{25}{4}}{5}$$

Express \frac{\frac{25}{4}}{5} as a single fraction.

$$\frac{25}{4\times 5}$$

Multiply 4 and 5 to get 20.

$$\frac{25}{20}$$

Reduce the fraction \frac{25}{20} to lowest terms by extracting and canceling out 5.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$