Solve 14/23+[-5/9]+[-16]

$$\frac { 14 } { 23 } + [ \frac { - 5 } { 9 } ] + [ - 16 ]$$

Evaluate

$$-\frac{3301}{207}\approx -15.946859903$$

Solution Steps

Fraction \frac{-5}{9} can be rewritten as -\frac{5}{9} by extracting the negative sign.

$$\frac{14}{23}-\frac{5}{9}-16$$

Least common multiple of 23 and 9 is 207. Convert \frac{14}{23} and \frac{5}{9} to fractions with denominator 207.

$$\frac{126}{207}-\frac{115}{207}-16$$

Since \frac{126}{207} and \frac{115}{207} have the same denominator, subtract them by subtracting their numerators.

$$\frac{126-115}{207}-16$$

Subtract 115 from 126 to get 11.

$$\frac{11}{207}-16$$

Convert 16 to fraction \frac{3312}{207}.

$$\frac{11}{207}-\frac{3312}{207}$$

Since \frac{11}{207} and \frac{3312}{207} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-3312}{207}$$

Subtract 3312 from 11 to get -3301.

$$-\frac{3301}{207}$$

Factor

$$-\frac{3301}{207} = -15\frac{196}{207} = -15.946859903381643$$