Solve 3div30.1-0.1

$$3 \div 30.1-0.1$$

Evaluate

$$-\frac{1}{3010}\approx -0.000332226$$

Solution Steps

Expand \frac{3}{30.1} by multiplying both numerator and the denominator by 10.

$$\frac{30}{301}-0.1$$

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

$$\frac{30}{301}-\frac{1}{10}$$

Least common multiple of 301 and 10 is 3010. Convert \frac{30}{301} and \frac{1}{10} to fractions with denominator 3010.

$$\frac{300}{3010}-\frac{301}{3010}$$

Since \frac{300}{3010} and \frac{301}{3010} have the same denominator, subtract them by subtracting their numerators.

$$\frac{300-301}{3010}$$

Subtract 301 from 300 to get -1.

$$-\frac{1}{3010}$$

Factor

$$-\frac{1}{3010} = -0.0003322259136212625$$