Solve 0.5-2.7div1.05=

$$0.5-2.7 \div 1.05=$$

Evaluate

$$-\frac{29}{14}\approx -2.071428571$$

Solution Steps

Expand \frac{2.7}{1.05} by multiplying both numerator and the denominator by 100.

$$0.5-\frac{270}{105}$$

Reduce the fraction \frac{270}{105} to lowest terms by extracting and canceling out 15.

$$0.5-\frac{18}{7}$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}-\frac{18}{7}$$

Least common multiple of 2 and 7 is 14. Convert \frac{1}{2} and \frac{18}{7} to fractions with denominator 14.

$$\frac{7}{14}-\frac{36}{14}$$

Since \frac{7}{14} and \frac{36}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-36}{14}$$

Subtract 36 from 7 to get -29.

$$-\frac{29}{14}$$

Factor

$$-\frac{29}{14} = -2\frac{1}{14} = -2.0714285714285716$$