Solve (1/2)^2+(1/3)^2

$$( \frac { 1 } { 2 } ) ^ { 2 } + ( \frac { 1 } { 3 } ) ^ { 2 }$$

Evaluate

$$\frac{13}{36}\approx 0.361111111$$

Solution Steps

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

$$\frac{1}{4}+\left(\frac{1}{3}\right)^{2}$$

Calculate \frac{1}{3} to the power of 2 and get \frac{1}{9}.

$$\frac{1}{4}+\frac{1}{9}$$

Least common multiple of 4 and 9 is 36. Convert \frac{1}{4} and \frac{1}{9} to fractions with denominator 36.

$$\frac{9}{36}+\frac{4}{36}$$

Since \frac{9}{36} and \frac{4}{36} have the same denominator, add them by adding their numerators.

$$\frac{9+4}{36}$$

Add 9 and 4 to get 13.

$$\frac{13}{36}$$

Factor

$$\frac{13}{2 ^ {2} \cdot 3 ^ {2}} = 0.3611111111111111$$