Solve ((5*650)*.6)*.105*(8/12)

$$((5 \times 650) \times .6) \times .105 \times ( \frac{ 8 }{ 12 } )$$

Evaluate

$$136.5$$

Solution Steps

Multiply 5 and 650 to get 3250.

$$3250\times 0.6\times 0.105\times \frac{8}{12}$$

Multiply 3250 and 0.6 to get 1950.

$$1950\times 0.105\times \frac{8}{12}$$

Multiply 1950 and 0.105 to get 204.75.

$$204.75\times \frac{8}{12}$$

Reduce the fraction \frac{8}{12} to lowest terms by extracting and canceling out 4.

$$204.75\times \frac{2}{3}$$

Convert decimal number 204.75 to fraction \frac{20475}{100}. Reduce the fraction \frac{20475}{100} to lowest terms by extracting and canceling out 25.

$$\frac{819}{4}\times \frac{2}{3}$$

Multiply \frac{819}{4} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{819\times 2}{4\times 3}$$

Do the multiplications in the fraction \frac{819\times 2}{4\times 3}.

$$\frac{1638}{12}$$

Reduce the fraction \frac{1638}{12} to lowest terms by extracting and canceling out 6.

$$\frac{273}{2}$$

Factor

$$\frac{3 \cdot 7 \cdot 13}{2} = 136\frac{1}{2} = 136.5$$