Solve (1)-8.4+(-31/2)+(+5)

$$( 1 ) - 8.4 + ( - 3 \frac { 1 } { 2 } ) + ( + 5 )$$

Evaluate

$$-5.9$$

Solution Steps

Subtract 8.4 from 1 to get -7.4.

$$-7.4-\frac{3\times 2+1}{2}+5$$

Multiply 3 and 2 to get 6.

$$-7.4-\frac{6+1}{2}+5$$

Add 6 and 1 to get 7.

$$-7.4-\frac{7}{2}+5$$

Convert decimal number -7.4 to fraction -\frac{74}{10}. Reduce the fraction -\frac{74}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{37}{5}-\frac{7}{2}+5$$

Least common multiple of 5 and 2 is 10. Convert -\frac{37}{5} and \frac{7}{2} to fractions with denominator 10.

$$-\frac{74}{10}-\frac{35}{10}+5$$

Since -\frac{74}{10} and \frac{35}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-74-35}{10}+5$$

Subtract 35 from -74 to get -109.

$$-\frac{109}{10}+5$$

Convert 5 to fraction \frac{50}{10}.

$$-\frac{109}{10}+\frac{50}{10}$$

Since -\frac{109}{10} and \frac{50}{10} have the same denominator, add them by adding their numerators.

$$\frac{-109+50}{10}$$

Add -109 and 50 to get -59.

$$-\frac{59}{10}$$

Factor

$$-5.9$$