Solve -1/18-(-1)/10

$$- \frac { 1 } { 18 } - \frac { ( - 1 ) } { 10 }$$

Evaluate

$$\frac{2}{45}\approx 0.044444444$$

Solution Steps

Fraction \frac{-1}{10} can be rewritten as -\frac{1}{10} by extracting the negative sign.

$$-\frac{1}{18}-\left(-\frac{1}{10}\right)$$

The opposite of -\frac{1}{10} is \frac{1}{10}.

$$-\frac{1}{18}+\frac{1}{10}$$

Least common multiple of 18 and 10 is 90. Convert -\frac{1}{18} and \frac{1}{10} to fractions with denominator 90.

$$-\frac{5}{90}+\frac{9}{90}$$

Since -\frac{5}{90} and \frac{9}{90} have the same denominator, add them by adding their numerators.

$$\frac{-5+9}{90}$$

Add -5 and 9 to get 4.

$$\frac{4}{90}$$

Reduce the fraction \frac{4}{90} to lowest terms by extracting and canceling out 2.

$$\frac{2}{45}$$

Factor

$$\frac{2}{3 ^ {2} \cdot 5} = 0.044444444444444446$$