Solve 1+1/1^2+1/2^2

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

Evaluate

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

Solution Steps

Rewrite 1^{2} as 1\times 1. Cancel out 1 in both numerator and denominator.

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

Divide 1 by 1 to get 1.

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

Add 1 and 1 to get 2.

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

Calculate 2 to the power of 2 and get 4.

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

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

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

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

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

Add 8 and 1 to get 9.

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

Factor

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