Solve 1+1+5/2/2

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

Evaluate

$$\frac{11}{4}=2.75$$

Solution Steps

Convert 1 to fraction \frac{2}{2}.

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

Since \frac{2}{2} and \frac{5}{2} have the same denominator, add them by adding their numerators.

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

Add 2 and 5 to get 7.

$$1+\frac{\frac{7}{2}}{2}$$

Express \frac{\frac{7}{2}}{2} as a single fraction.

$$1+\frac{7}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$1+\frac{7}{4}$$

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

$$\frac{4}{4}+\frac{7}{4}$$

Since \frac{4}{4} and \frac{7}{4} have the same denominator, add them by adding their numerators.

$$\frac{4+7}{4}$$

Add 4 and 7 to get 11.

$$\frac{11}{4}$$

Factor

$$\frac{11}{2 ^ {2}} = 2\frac{3}{4} = 2.75$$