Solve -3.4+0.018div(-0.09)-2.1

$$- 3.4 + 0.018 \div ( - 0.09 ) - 2.1$$

Evaluate

$$-5.7$$

Solution Steps

Expand \frac{0.018}{-0.09} by multiplying both numerator and the denominator by 1000.

$$-3.4+\frac{18}{-90}-2.1$$

Reduce the fraction \frac{18}{-90} to lowest terms by extracting and canceling out 18.

$$-3.4-\frac{1}{5}-2.1$$

Convert decimal number -3.4 to fraction -\frac{34}{10}. Reduce the fraction -\frac{34}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{17}{5}-\frac{1}{5}-2.1$$

Since -\frac{17}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-17-1}{5}-2.1$$

Subtract 1 from -17 to get -18.

$$-\frac{18}{5}-2.1$$

Convert decimal number 2.1 to fraction \frac{21}{10}.

$$-\frac{18}{5}-\frac{21}{10}$$

Least common multiple of 5 and 10 is 10. Convert -\frac{18}{5} and \frac{21}{10} to fractions with denominator 10.

$$-\frac{36}{10}-\frac{21}{10}$$

Since -\frac{36}{10} and \frac{21}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-36-21}{10}$$

Subtract 21 from -36 to get -57.

$$-\frac{57}{10}$$

Factor

$$-5.7$$