Solve 1/105*0.8346

$$\frac { 1 } { 105 } \times 0.8346$$

Evaluate

$$\frac{1391}{175000}\approx 0.007948571$$

Solution Steps

Convert decimal number 0.8346 to fraction \frac{8346}{10000}. Reduce the fraction \frac{8346}{10000} to lowest terms by extracting and canceling out 2.

$$\frac{1}{105}\times \frac{4173}{5000}$$

Multiply \frac{1}{105} times \frac{4173}{5000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 4173}{105\times 5000}$$

Do the multiplications in the fraction \frac{1\times 4173}{105\times 5000}.

$$\frac{4173}{525000}$$

Reduce the fraction \frac{4173}{525000} to lowest terms by extracting and canceling out 3.

$$\frac{1391}{175000}$$

Factor

$$\frac{13 \cdot 107}{7 \cdot 2 ^ {3} \cdot 5 ^ {5}} = 0.007948571428571428$$