Solve (-4/5)^2-3/50

$$( - \frac { 4 } { 5 } ) ^ { 2 } - \frac { 3 } { 50 }$$

Evaluate

$$\frac{29}{50}=0.58$$

Solution Steps

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

$$\frac{16}{25}-\frac{3}{50}$$

Least common multiple of 25 and 50 is 50. Convert \frac{16}{25} and \frac{3}{50} to fractions with denominator 50.

$$\frac{32}{50}-\frac{3}{50}$$

Since \frac{32}{50} and \frac{3}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{32-3}{50}$$

Subtract 3 from 32 to get 29.

$$\frac{29}{50}$$

Factor

$$\frac{29}{2 \cdot 5 ^ {2}} = 0.58$$