Solve ((9*800)*.7)*.095*(7/12)

$$((9 \times 800) \times .7) \times .095 \times ( \frac{ 7 }{ 12 } )$$

Evaluate

$$279.3$$

Solution Steps

Multiply 9 and 800 to get 7200.

$$7200\times 0.7\times 0.095\times \frac{7}{12}$$

Multiply 7200 and 0.7 to get 5040.

$$5040\times 0.095\times \frac{7}{12}$$

Multiply 5040 and 0.095 to get 478.8.

$$478.8\times \frac{7}{12}$$

Convert decimal number 478.8 to fraction \frac{4788}{10}. Reduce the fraction \frac{4788}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2394}{5}\times \frac{7}{12}$$

Multiply \frac{2394}{5} times \frac{7}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2394\times 7}{5\times 12}$$

Do the multiplications in the fraction \frac{2394\times 7}{5\times 12}.

$$\frac{16758}{60}$$

Reduce the fraction \frac{16758}{60} to lowest terms by extracting and canceling out 6.

$$\frac{2793}{10}$$

Factor

$$\frac{3 \cdot 19 \cdot 7 ^ {2}}{2 \cdot 5} = 279\frac{3}{10} = 279.3$$