Solve =1+0.9+(0.5)^2/2

$$= 1 + 0.9 + \frac { ( 0.5 ) ^ { 2 } } { 2 }$$

Evaluate

$$2.025$$

Solution Steps

Add 1 and 0.9 to get 1.9.

$$1.9+\frac{0.5^{2}}{2}$$

Calculate 0.5 to the power of 2 and get 0.25.

$$1.9+\frac{0.25}{2}$$

Expand \frac{0.25}{2} by multiplying both numerator and the denominator by 100.

$$1.9+\frac{25}{200}$$

Reduce the fraction \frac{25}{200} to lowest terms by extracting and canceling out 25.

$$1.9+\frac{1}{8}$$

Convert decimal number 1.9 to fraction \frac{19}{10}.

$$\frac{19}{10}+\frac{1}{8}$$

Least common multiple of 10 and 8 is 40. Convert \frac{19}{10} and \frac{1}{8} to fractions with denominator 40.

$$\frac{76}{40}+\frac{5}{40}$$

Since \frac{76}{40} and \frac{5}{40} have the same denominator, add them by adding their numerators.

$$\frac{76+5}{40}$$

Add 76 and 5 to get 81.

$$\frac{81}{40}$$

Factor

$$\frac{3 ^ {4}}{5 \cdot 2 ^ {3}} = 2\frac{1}{40} = 2.025$$