Solve 2/3*32*10.25*0.375

$$\frac { 2 } { 3 } \times 32 \cdot 10.25 \times 0.375$$

Evaluate

$$82$$

Solution Steps

Express \frac{2}{3}\times 32 as a single fraction.

$$\frac{2\times 32}{3}\times 10.25\times 0.375$$

Multiply 2 and 32 to get 64.

$$\frac{64}{3}\times 10.25\times 0.375$$

Convert decimal number 10.25 to fraction \frac{1025}{100}. Reduce the fraction \frac{1025}{100} to lowest terms by extracting and canceling out 25.

$$\frac{64}{3}\times \frac{41}{4}\times 0.375$$

Multiply \frac{64}{3} times \frac{41}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{64\times 41}{3\times 4}\times 0.375$$

Do the multiplications in the fraction \frac{64\times 41}{3\times 4}.

$$\frac{2624}{12}\times 0.375$$

Reduce the fraction \frac{2624}{12} to lowest terms by extracting and canceling out 4.

$$\frac{656}{3}\times 0.375$$

Convert decimal number 0.375 to fraction \frac{375}{1000}. Reduce the fraction \frac{375}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{656}{3}\times \frac{3}{8}$$

Multiply \frac{656}{3} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{656\times 3}{3\times 8}$$

Cancel out 3 in both numerator and denominator.

$$\frac{656}{8}$$

Divide 656 by 8 to get 82.

$$82$$

Factor

$$2\times 41$$