Solve (192-181/2*0.5)+181

$$( \frac{ 192-181 }{ 2 } \times 0.5)+181$$

Evaluate

$$183.75$$

Solution Steps

Subtract 181 from 192 to get 11.

$$\frac{11}{2}\times 0.5+181$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{11}{2}\times \frac{1}{2}+181$$

Multiply \frac{11}{2} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 1}{2\times 2}+181$$

Do the multiplications in the fraction \frac{11\times 1}{2\times 2}.

$$\frac{11}{4}+181$$

Convert 181 to fraction \frac{724}{4}.

$$\frac{11}{4}+\frac{724}{4}$$

Since \frac{11}{4} and \frac{724}{4} have the same denominator, add them by adding their numerators.

$$\frac{11+724}{4}$$

Add 11 and 724 to get 735.

$$\frac{735}{4}$$

Factor

$$\frac{3 \cdot 5 \cdot 7 ^ {2}}{2 ^ {2}} = 183\frac{3}{4} = 183.75$$