Solve (-7/20+1/10):(-3)

$$( \frac { - 7 } { 20 } + \frac { 1 } { 10 } ) : ( - 3 )$$

Evaluate

$$\frac{1}{12}\approx 0.083333333$$

Solution Steps

Fraction \frac{-7}{20} can be rewritten as -\frac{7}{20} by extracting the negative sign.

$$\frac{-\frac{7}{20}+\frac{1}{10}}{-3}$$

Least common multiple of 20 and 10 is 20. Convert -\frac{7}{20} and \frac{1}{10} to fractions with denominator 20.

$$\frac{-\frac{7}{20}+\frac{2}{20}}{-3}$$

Since -\frac{7}{20} and \frac{2}{20} have the same denominator, add them by adding their numerators.

$$\frac{\frac{-7+2}{20}}{-3}$$

Add -7 and 2 to get -5.

$$\frac{\frac{-5}{20}}{-3}$$

Reduce the fraction \frac{-5}{20} to lowest terms by extracting and canceling out 5.

$$\frac{-\frac{1}{4}}{-3}$$

Express \frac{-\frac{1}{4}}{-3} as a single fraction.

$$\frac{-1}{4\left(-3\right)}$$

Multiply 4 and -3 to get -12.

$$\frac{-1}{-12}$$

Fraction \frac{-1}{-12} can be simplified to \frac{1}{12} by removing the negative sign from both the numerator and the denominator.

$$\frac{1}{12}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3} = 0.08333333333333333$$