Solve (3/4)^2+(4/5)^2=

$$( \frac { 3 } { 4 } ) ^ { 2 } + ( \frac { 4 } { 5 } ) ^ { 2 } =$$

Evaluate

$$\frac{481}{400}=1.2025$$

Solution Steps

Calculate \frac{3}{4} to the power of 2 and get \frac{9}{16}.

$$\frac{9}{16}+\left(\frac{4}{5}\right)^{2}$$

Calculate \frac{4}{5} to the power of 2 and get \frac{16}{25}.

$$\frac{9}{16}+\frac{16}{25}$$

Least common multiple of 16 and 25 is 400. Convert \frac{9}{16} and \frac{16}{25} to fractions with denominator 400.

$$\frac{225}{400}+\frac{256}{400}$$

Since \frac{225}{400} and \frac{256}{400} have the same denominator, add them by adding their numerators.

$$\frac{225+256}{400}$$

Add 225 and 256 to get 481.

$$\frac{481}{400}$$

Factor

$$\frac{13 \cdot 37}{2 ^ {4} \cdot 5 ^ {2}} = 1\frac{81}{400} = 1.2025$$