Solve (-0.4)^2div8+7.2

$$( - 0.4 ) ^ { 2 } \div 8 + 7.2$$

Evaluate

$$7.22$$

Solution Steps

Calculate -0.4 to the power of 2 and get 0.16.

$$\frac{0.16}{8}+7.2$$

Expand \frac{0.16}{8} by multiplying both numerator and the denominator by 100.

$$\frac{16}{800}+7.2$$

Reduce the fraction \frac{16}{800} to lowest terms by extracting and canceling out 16.

$$\frac{1}{50}+7.2$$

Convert decimal number 7.2 to fraction \frac{72}{10}. Reduce the fraction \frac{72}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{50}+\frac{36}{5}$$

Least common multiple of 50 and 5 is 50. Convert \frac{1}{50} and \frac{36}{5} to fractions with denominator 50.

$$\frac{1}{50}+\frac{360}{50}$$

Since \frac{1}{50} and \frac{360}{50} have the same denominator, add them by adding their numerators.

$$\frac{1+360}{50}$$

Add 1 and 360 to get 361.

$$\frac{361}{50}$$

Factor

$$\frac{19 ^ {2}}{2 \cdot 5 ^ {2}} = 7\frac{11}{50} = 7.22$$