Solve {left(-5/2right)}^2div21/2

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

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

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

$$\frac{\frac{25}{4}}{\frac{2\times 2+1}{2}}$$

Multiply 2 and 2 to get 4.

$$\frac{\frac{25}{4}}{\frac{4+1}{2}}$$

Add 4 and 1 to get 5.

$$\frac{\frac{25}{4}}{\frac{5}{2}}$$

Divide \frac{25}{4} by \frac{5}{2} by multiplying \frac{25}{4} by the reciprocal of \frac{5}{2}.

$$\frac{25}{4}\times \frac{2}{5}$$

Multiply \frac{25}{4} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 2}{4\times 5}$$

Do the multiplications in the fraction \frac{25\times 2}{4\times 5}.

$$\frac{50}{20}$$

Reduce the fraction \frac{50}{20} to lowest terms by extracting and canceling out 10.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$