Solve 3/2*8.31*(600-455)

$$\frac { 3 } { 2 } \times 8.31 \times ( 600 - 455 )$$

Evaluate

$$1807.425$$

Solution Steps

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

$$\frac{3}{2}\times \frac{831}{100}\left(600-455\right)$$

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

$$\frac{3\times 831}{2\times 100}\left(600-455\right)$$

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

$$\frac{2493}{200}\left(600-455\right)$$

Subtract 455 from 600 to get 145.

$$\frac{2493}{200}\times 145$$

Express \frac{2493}{200}\times 145 as a single fraction.

$$\frac{2493\times 145}{200}$$

Multiply 2493 and 145 to get 361485.

$$\frac{361485}{200}$$

Reduce the fraction \frac{361485}{200} to lowest terms by extracting and canceling out 5.

$$\frac{72297}{40}$$

Factor

$$\frac{29 \cdot 277 \cdot 3 ^ {2}}{5 \cdot 2 ^ {3}} = 1807\frac{17}{40} = 1807.425$$