Solve 3.6div12-0.8*2.7

$$3.6 \div 12-0.8 \times 2.7$$

Evaluate

$$-1.86$$

Solution Steps

Expand \frac{3.6}{12} by multiplying both numerator and the denominator by 10.

$$\frac{36}{120}-0.8\times 2.7$$

Reduce the fraction \frac{36}{120} to lowest terms by extracting and canceling out 12.

$$\frac{3}{10}-0.8\times 2.7$$

Multiply 0.8 and 2.7 to get 2.16.

$$\frac{3}{10}-2.16$$

Convert decimal number 2.16 to fraction \frac{216}{100}. Reduce the fraction \frac{216}{100} to lowest terms by extracting and canceling out 4.

$$\frac{3}{10}-\frac{54}{25}$$

Least common multiple of 10 and 25 is 50. Convert \frac{3}{10} and \frac{54}{25} to fractions with denominator 50.

$$\frac{15}{50}-\frac{108}{50}$$

Since \frac{15}{50} and \frac{108}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-108}{50}$$

Subtract 108 from 15 to get -93.

$$-\frac{93}{50}$$

Factor

$$-1.86$$