Solve -1/27+2/9-1/3+10

$$- \frac { 1 } { 27 } + \frac { 2 } { 9 } - \frac { 1 } { 3 } + 10$$

Evaluate

$$\frac{266}{27}\approx 9.851851852$$

Solution Steps

Least common multiple of 27 and 9 is 27. Convert -\frac{1}{27} and \frac{2}{9} to fractions with denominator 27.

$$-\frac{1}{27}+\frac{6}{27}-\frac{1}{3}+10$$

Since -\frac{1}{27} and \frac{6}{27} have the same denominator, add them by adding their numerators.

$$\frac{-1+6}{27}-\frac{1}{3}+10$$

Add -1 and 6 to get 5.

$$\frac{5}{27}-\frac{1}{3}+10$$

Least common multiple of 27 and 3 is 27. Convert \frac{5}{27} and \frac{1}{3} to fractions with denominator 27.

$$\frac{5}{27}-\frac{9}{27}+10$$

Since \frac{5}{27} and \frac{9}{27} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-9}{27}+10$$

Subtract 9 from 5 to get -4.

$$-\frac{4}{27}+10$$

Convert 10 to fraction \frac{270}{27}.

$$-\frac{4}{27}+\frac{270}{27}$$

Since -\frac{4}{27} and \frac{270}{27} have the same denominator, add them by adding their numerators.

$$\frac{-4+270}{27}$$

Add -4 and 270 to get 266.

$$\frac{266}{27}$$

Factor

$$\frac{2 \cdot 7 \cdot 19}{3 ^ {3}} = 9\frac{23}{27} = 9.851851851851851$$