Solve 8+10+9/3*0.2+0.8*(9.25+9.5)/2

$$\frac{ 8+10+9 }{ 3 } \times 0.2+ \frac{ 0.8 \times (9.25+9.5) }{ 2 }$$

Evaluate

$$9.3$$

Solution Steps

Add 8 and 10 to get 18.

$$\frac{18+9}{3}\times 0.2+\frac{0.8\left(9.25+9.5\right)}{2}$$

Add 18 and 9 to get 27.

$$\frac{27}{3}\times 0.2+\frac{0.8\left(9.25+9.5\right)}{2}$$

Divide 27 by 3 to get 9.

$$9\times 0.2+\frac{0.8\left(9.25+9.5\right)}{2}$$

Multiply 9 and 0.2 to get 1.8.

$$1.8+\frac{0.8\left(9.25+9.5\right)}{2}$$

Add 9.25 and 9.5 to get 18.75.

$$1.8+\frac{0.8\times 18.75}{2}$$

Multiply 0.8 and 18.75 to get 15.

$$1.8+\frac{15}{2}$$

Convert decimal number 1.8 to fraction \frac{18}{10}. Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.

$$\frac{9}{5}+\frac{15}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{9}{5} and \frac{15}{2} to fractions with denominator 10.

$$\frac{18}{10}+\frac{75}{10}$$

Since \frac{18}{10} and \frac{75}{10} have the same denominator, add them by adding their numerators.

$$\frac{18+75}{10}$$

Add 18 and 75 to get 93.

$$\frac{93}{10}$$

Factor

$$\frac{3 \cdot 31}{2 \cdot 5} = 9\frac{3}{10} = 9.3$$