Solve (-3.7)+(-2.1)+(+5.4)+(-1/2)

$$( - 3.7 ) + ( - 2.1 ) + ( + 5.4 ) + ( - \frac { 1 } { 2 } )$$

Evaluate

$$-0.9$$

Solution Steps

Subtract 2.1 from -3.7 to get -5.8.

$$-5.8+5.4-\frac{1}{2}$$

Add -5.8 and 5.4 to get -0.4.

$$-0.4-\frac{1}{2}$$

Convert decimal number -0.4 to fraction -\frac{4}{10}. Reduce the fraction -\frac{4}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{2}{5}-\frac{1}{2}$$

Least common multiple of 5 and 2 is 10. Convert -\frac{2}{5} and \frac{1}{2} to fractions with denominator 10.

$$-\frac{4}{10}-\frac{5}{10}$$

Since -\frac{4}{10} and \frac{5}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-4-5}{10}$$

Subtract 5 from -4 to get -9.

$$-\frac{9}{10}$$

Factor

$$-0.9$$