Solve 3/2*8.31*(155)

$$\frac { 3 } { 2 } \times 8.31 \times ( 155 )$$

Evaluate

$$1932.075$$

Solution Steps

Convert decimal number 8.31 to fraction \frac{831}{100}.

$$\frac{3}{2}\times \frac{831}{100}\times 155$$

Multiply \frac{3}{2} times \frac{831}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 831}{2\times 100}\times 155$$

Do the multiplications in the fraction \frac{3\times 831}{2\times 100}.

$$\frac{2493}{200}\times 155$$

Express \frac{2493}{200}\times 155 as a single fraction.

$$\frac{2493\times 155}{200}$$

Multiply 2493 and 155 to get 386415.

$$\frac{386415}{200}$$

Reduce the fraction \frac{386415}{200} to lowest terms by extracting and canceling out 5.

$$\frac{77283}{40}$$

Factor

$$\frac{31 \cdot 277 \cdot 3 ^ {2}}{5 \cdot 2 ^ {3}} = 1932\frac{3}{40} = 1932.075$$