Solve 1.5*376.08/10*14.22

$$\frac{ 1.5 \cdot 376.08 }{ 10 } \times 14.22$$

Evaluate

$$802.17864$$

Solution Steps

Multiply 1.5 and 376.08 to get 564.12.

$$\frac{564.12}{10}\times 14.22$$

Expand \frac{564.12}{10} by multiplying both numerator and the denominator by 100.

$$\frac{56412}{1000}\times 14.22$$

Reduce the fraction \frac{56412}{1000} to lowest terms by extracting and canceling out 4.

$$\frac{14103}{250}\times 14.22$$

Convert decimal number 14.22 to fraction \frac{1422}{100}. Reduce the fraction \frac{1422}{100} to lowest terms by extracting and canceling out 2.

$$\frac{14103}{250}\times \frac{711}{50}$$

Multiply \frac{14103}{250} times \frac{711}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14103\times 711}{250\times 50}$$

Do the multiplications in the fraction \frac{14103\times 711}{250\times 50}.

$$\frac{10027233}{12500}$$

Factor

$$\frac{79 \cdot 1567 \cdot 3 ^ {4}}{2 ^ {2} \cdot 5 ^ {5}} = 802\frac{2233}{12500} = 802.17864$$