Solve 3.14/6*299.3

$$\frac{ 3.14 }{ 6 } \times 299.3$$

Evaluate

$$\frac{469901}{3000}\approx 156.633666667$$

Solution Steps

Expand \frac{3.14}{6} by multiplying both numerator and the denominator by 100.

$$\frac{314}{600}\times 299.3$$

Reduce the fraction \frac{314}{600} to lowest terms by extracting and canceling out 2.

$$\frac{157}{300}\times 299.3$$

Convert decimal number 299.3 to fraction \frac{2993}{10}.

$$\frac{157}{300}\times \frac{2993}{10}$$

Multiply \frac{157}{300} times \frac{2993}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{157\times 2993}{300\times 10}$$

Do the multiplications in the fraction \frac{157\times 2993}{300\times 10}.

$$\frac{469901}{3000}$$

Factor

$$\frac{41 \cdot 73 \cdot 157}{3 \cdot 2 ^ {3} \cdot 5 ^ {3}} = 156\frac{1901}{3000} = 156.63366666666667$$