Solve .5+((3/5)(-7))-(-1-8)

$$.5 + ( ( 3 / 5 ) ( - 7 ) ) - ( - 1 - 8 )$$

Evaluate

$$5.3$$

Solution Steps

Express \frac{3}{5}\left(-7\right) as a single fraction.

$$0.5+\frac{3\left(-7\right)}{5}-\left(-1-8\right)$$

Multiply 3 and -7 to get -21.

$$0.5+\frac{-21}{5}-\left(-1-8\right)$$

Fraction \frac{-21}{5} can be rewritten as -\frac{21}{5} by extracting the negative sign.

$$0.5-\frac{21}{5}-\left(-1-8\right)$$

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.

$$\frac{1}{2}-\frac{21}{5}-\left(-1-8\right)$$

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{21}{5} to fractions with denominator 10.

$$\frac{5}{10}-\frac{42}{10}-\left(-1-8\right)$$

Since \frac{5}{10} and \frac{42}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-42}{10}-\left(-1-8\right)$$

Subtract 42 from 5 to get -37.

$$-\frac{37}{10}-\left(-1-8\right)$$

Subtract 8 from -1 to get -9.

$$-\frac{37}{10}-\left(-9\right)$$

The opposite of -9 is 9.

$$-\frac{37}{10}+9$$

Convert 9 to fraction \frac{90}{10}.

$$-\frac{37}{10}+\frac{90}{10}$$

Since -\frac{37}{10} and \frac{90}{10} have the same denominator, add them by adding their numerators.

$$\frac{-37+90}{10}$$

Add -37 and 90 to get 53.

$$\frac{53}{10}$$

Factor

$$\frac{53}{2 \cdot 5} = 5\frac{3}{10} = 5.3$$