Solve 200/0.7*0.1

$$\frac { 200 } { 0.7 } \times 0.1$$

Evaluate

$$\frac{200}{7}\approx 28.571428571$$

Solution Steps

Expand \frac{200}{0.7} by multiplying both numerator and the denominator by 10.

$$\frac{2000}{7}\times 0.1$$

Convert decimal number 0.1 to fraction \frac{1}{10}.

$$\frac{2000}{7}\times \frac{1}{10}$$

Multiply \frac{2000}{7} times \frac{1}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2000\times 1}{7\times 10}$$

Do the multiplications in the fraction \frac{2000\times 1}{7\times 10}.

$$\frac{2000}{70}$$

Reduce the fraction \frac{2000}{70} to lowest terms by extracting and canceling out 10.

$$\frac{200}{7}$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2}}{7} = 28\frac{4}{7} = 28.571428571428573$$