Solve 8*12+2*12*(1+20%)+2*12*(1+40%)

$$8 \times 12 + 2 \times 12 \times ( 1 + 20 \% ) + 2 \times 12 \times ( 1 + 40 \% )$$

Evaluate

$$\frac{792}{5}=158.4$$

Solution Steps

Multiply 8 and 12 to get 96. Multiply 2 and 12 to get 24. Multiply 2 and 12 to get 24.

$$96+24\left(1+\frac{20}{100}\right)+24\left(1+\frac{40}{100}\right)$$

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$96+24\left(1+\frac{1}{5}\right)+24\left(1+\frac{40}{100}\right)$$

Convert 1 to fraction \frac{5}{5}.

$$96+24\left(\frac{5}{5}+\frac{1}{5}\right)+24\left(1+\frac{40}{100}\right)$$

Since \frac{5}{5} and \frac{1}{5} have the same denominator, add them by adding their numerators.

$$96+24\times \frac{5+1}{5}+24\left(1+\frac{40}{100}\right)$$

Add 5 and 1 to get 6.

$$96+24\times \frac{6}{5}+24\left(1+\frac{40}{100}\right)$$

Express 24\times \frac{6}{5} as a single fraction.

$$96+\frac{24\times 6}{5}+24\left(1+\frac{40}{100}\right)$$

Multiply 24 and 6 to get 144.

$$96+\frac{144}{5}+24\left(1+\frac{40}{100}\right)$$

Convert 96 to fraction \frac{480}{5}.

$$\frac{480}{5}+\frac{144}{5}+24\left(1+\frac{40}{100}\right)$$

Since \frac{480}{5} and \frac{144}{5} have the same denominator, add them by adding their numerators.

$$\frac{480+144}{5}+24\left(1+\frac{40}{100}\right)$$

Add 480 and 144 to get 624.

$$\frac{624}{5}+24\left(1+\frac{40}{100}\right)$$

Reduce the fraction \frac{40}{100} to lowest terms by extracting and canceling out 20.

$$\frac{624}{5}+24\left(1+\frac{2}{5}\right)$$

Convert 1 to fraction \frac{5}{5}.

$$\frac{624}{5}+24\left(\frac{5}{5}+\frac{2}{5}\right)$$

Since \frac{5}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$\frac{624}{5}+24\times \frac{5+2}{5}$$

Add 5 and 2 to get 7.

$$\frac{624}{5}+24\times \frac{7}{5}$$

Express 24\times \frac{7}{5} as a single fraction.

$$\frac{624}{5}+\frac{24\times 7}{5}$$

Multiply 24 and 7 to get 168.

$$\frac{624}{5}+\frac{168}{5}$$

Since \frac{624}{5} and \frac{168}{5} have the same denominator, add them by adding their numerators.

$$\frac{624+168}{5}$$

Add 624 and 168 to get 792.

$$\frac{792}{5}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {2} \cdot 11}{5} = 158\frac{2}{5} = 158.4$$