Solve {l}{1/2*1/2}{+5*2/5}

$$\left. \begin{array} { l } { \frac { 1 } { 2 } \times \frac { 1 } { 2 } } \\ { + 5 \times \frac { 2 } { 5 } } \end{array} \right.$$

Evaluate

$$\frac{9}{4}=2.25$$

Solution Steps

Multiply \frac{1}{2} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 1}{2\times 2}.

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

Cancel out 5 and 5.

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

Convert 2 to fraction \frac{8}{4}.

$$\frac{1}{4}+\frac{8}{4}$$

Since \frac{1}{4} and \frac{8}{4} have the same denominator, add them by adding their numerators.

$$\frac{1+8}{4}$$

Add 1 and 8 to get 9.

$$\frac{9}{4}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2}} = 2\frac{1}{4} = 2.25$$