Solve 3.14*.443/6

$$3.14 \times \frac { .443 } { 6 }$$

Evaluate

$$\frac{69551}{300000}\approx 0.231836667$$

Solution Steps

Expand \frac{0.443}{6} by multiplying both numerator and the denominator by 1000.

$$3.14\times \frac{443}{6000}$$

Convert decimal number 3.14 to fraction \frac{314}{100}. Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.

$$\frac{157}{50}\times \frac{443}{6000}$$

Multiply \frac{157}{50} times \frac{443}{6000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{157\times 443}{50\times 6000}$$

Do the multiplications in the fraction \frac{157\times 443}{50\times 6000}.

$$\frac{69551}{300000}$$

Factor

$$\frac{157 \cdot 443}{3 \cdot 2 ^ {5} \cdot 5 ^ {5}} = 0.23183666666666666$$