Solve (1/2+1/3)^2:(3/4+1/5)^0

$$( 1 / 2 + 1 / 3 ) ^ { 2 } : ( 3 / 4 + 1 / 5 ) ^ { 0 }$$

Evaluate

$$\frac{25}{36}\approx 0.694444444$$

Solution Steps

Add \frac{1}{2} and \frac{1}{3} to get \frac{5}{6}.

$$\frac{\left(\frac{5}{6}\right)^{2}}{\left(\frac{3}{4}+\frac{1}{5}\right)^{0}}$$

Calculate \frac{5}{6} to the power of 2 and get \frac{25}{36}.

$$\frac{\frac{25}{36}}{\left(\frac{3}{4}+\frac{1}{5}\right)^{0}}$$

Add \frac{3}{4} and \frac{1}{5} to get \frac{19}{20}.

$$\frac{\frac{25}{36}}{\left(\frac{19}{20}\right)^{0}}$$

Calculate \frac{19}{20} to the power of 0 and get 1.

$$\frac{\frac{25}{36}}{1}$$

Anything divided by one gives itself.

$$\frac{25}{36}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2} \cdot 3 ^ {2}} = 0.6944444444444444$$