Solve -4/27+8/9+2/3

$$\frac{ -4 }{ 27 } + \frac{ 8 }{ 9 } + \frac{ 2 }{ 3 }$$

Evaluate

$$\frac{38}{27}\approx 1.407407407$$

Solution Steps

Fraction \frac{-4}{27} can be rewritten as -\frac{4}{27} by extracting the negative sign.

$$-\frac{4}{27}+\frac{8}{9}+\frac{2}{3}$$

Least common multiple of 27 and 9 is 27. Convert -\frac{4}{27} and \frac{8}{9} to fractions with denominator 27.

$$-\frac{4}{27}+\frac{24}{27}+\frac{2}{3}$$

Since -\frac{4}{27} and \frac{24}{27} have the same denominator, add them by adding their numerators.

$$\frac{-4+24}{27}+\frac{2}{3}$$

Add -4 and 24 to get 20.

$$\frac{20}{27}+\frac{2}{3}$$

Least common multiple of 27 and 3 is 27. Convert \frac{20}{27} and \frac{2}{3} to fractions with denominator 27.

$$\frac{20}{27}+\frac{18}{27}$$

Since \frac{20}{27} and \frac{18}{27} have the same denominator, add them by adding their numerators.

$$\frac{20+18}{27}$$

Add 20 and 18 to get 38.

$$\frac{38}{27}$$

Factor

$$\frac{2 \cdot 19}{3 ^ {3}} = 1\frac{11}{27} = 1.4074074074074074$$