Solve 675/1800*3.142

$$\frac{ 675 }{ 1800 } \times 3.142$$

Evaluate

$$1.17825$$

Solution Steps

Reduce the fraction \frac{675}{1800} to lowest terms by extracting and canceling out 225.

$$\frac{3}{8}\times 3.142$$

Convert decimal number 3.142 to fraction \frac{3142}{1000}. Reduce the fraction \frac{3142}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{3}{8}\times \frac{1571}{500}$$

Multiply \frac{3}{8} times \frac{1571}{500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 1571}{8\times 500}$$

Do the multiplications in the fraction \frac{3\times 1571}{8\times 500}.

$$\frac{4713}{4000}$$

Factor

$$\frac{3 \cdot 1571}{2 ^ {5} \cdot 5 ^ {3}} = 1\frac{713}{4000} = 1.17825$$