Solve 4/9+8/27-13/15

$$\frac{ 4 }{ 9 } + \frac{ 8 }{ 27 } - \frac{ 13 }{ 15 }$$

Evaluate

$$-\frac{17}{135}\approx -0.125925926$$

Solution Steps

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

$$\frac{12}{27}+\frac{8}{27}-\frac{13}{15}$$

Since \frac{12}{27} and \frac{8}{27} have the same denominator, add them by adding their numerators.

$$\frac{12+8}{27}-\frac{13}{15}$$

Add 12 and 8 to get 20.

$$\frac{20}{27}-\frac{13}{15}$$

Least common multiple of 27 and 15 is 135. Convert \frac{20}{27} and \frac{13}{15} to fractions with denominator 135.

$$\frac{100}{135}-\frac{117}{135}$$

Since \frac{100}{135} and \frac{117}{135} have the same denominator, subtract them by subtracting their numerators.

$$\frac{100-117}{135}$$

Subtract 117 from 100 to get -17.

$$-\frac{17}{135}$$

Factor

$$-\frac{17}{135} = -0.1259259259259259$$