Solve (3/5)^2+(2/7)^2

$$( \frac { 3 } { 5 } ) ^ { 2 } + ( \frac { 2 } { 7 } ) ^ { 2 }$$

Evaluate

$$\frac{541}{1225}\approx 0.441632653$$

Solution Steps

Calculate \frac{3}{5} to the power of 2 and get \frac{9}{25}.

$$\frac{9}{25}+\left(\frac{2}{7}\right)^{2}$$

Calculate \frac{2}{7} to the power of 2 and get \frac{4}{49}.

$$\frac{9}{25}+\frac{4}{49}$$

Least common multiple of 25 and 49 is 1225. Convert \frac{9}{25} and \frac{4}{49} to fractions with denominator 1225.

$$\frac{441}{1225}+\frac{100}{1225}$$

Since \frac{441}{1225} and \frac{100}{1225} have the same denominator, add them by adding their numerators.

$$\frac{441+100}{1225}$$

Add 441 and 100 to get 541.

$$\frac{541}{1225}$$

Factor

$$\frac{541}{5 ^ {2} \cdot 7 ^ {2}} = 0.4416326530612245$$