Solve 5/2*8.31*(155)

$$\frac { 5 } { 2 } \times 8.31 \times ( 155 )$$

Evaluate

$$3220.125$$

Solution Steps

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

$$\frac{5}{2}\times \frac{831}{100}\times 155$$

Multiply \frac{5}{2} times \frac{831}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 831}{2\times 100}\times 155$$

Do the multiplications in the fraction \frac{5\times 831}{2\times 100}.

$$\frac{4155}{200}\times 155$$

Reduce the fraction \frac{4155}{200} to lowest terms by extracting and canceling out 5.

$$\frac{831}{40}\times 155$$

Express \frac{831}{40}\times 155 as a single fraction.

$$\frac{831\times 155}{40}$$

Multiply 831 and 155 to get 128805.

$$\frac{128805}{40}$$

Reduce the fraction \frac{128805}{40} to lowest terms by extracting and canceling out 5.

$$\frac{25761}{8}$$

Factor

$$\frac{3 \cdot 31 \cdot 277}{2 ^ {3}} = 3220\frac{1}{8} = 3220.125$$