Solve 21/2/1+(frac{1{2})^2}

$$\frac { 2 \frac { 1 } { 2 } } { 1 + ( \frac { 1 } { 2 } ) ^ { 2 } }$$

Evaluate

$$2$$

Solution Steps

Multiply 2 and 2 to get 4.

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

Add 4 and 1 to get 5.

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

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$\frac{\frac{5}{2}}{1+\frac{1}{4}}$$

Convert 1 to fraction \frac{4}{4}.

$$\frac{\frac{5}{2}}{\frac{4}{4}+\frac{1}{4}}$$

Since \frac{4}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{\frac{5}{2}}{\frac{4+1}{4}}$$

Add 4 and 1 to get 5.

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

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

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

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

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

Cancel out 5 in both numerator and denominator.

$$\frac{4}{2}$$

Divide 4 by 2 to get 2.

$$2$$

Factor

$$2$$