Solve 16-8/10-12/9

$$16 - \frac { 8 } { 10 } - \frac { 12 } { 9 }$$

Evaluate

$$\frac{208}{15}\approx 13.866666667$$

Solution Steps

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$16-\frac{4}{5}-\frac{12}{9}$$

Convert 16 to fraction \frac{80}{5}.

$$\frac{80}{5}-\frac{4}{5}-\frac{12}{9}$$

Since \frac{80}{5} and \frac{4}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{80-4}{5}-\frac{12}{9}$$

Subtract 4 from 80 to get 76.

$$\frac{76}{5}-\frac{12}{9}$$

Reduce the fraction \frac{12}{9} to lowest terms by extracting and canceling out 3.

$$\frac{76}{5}-\frac{4}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{76}{5} and \frac{4}{3} to fractions with denominator 15.

$$\frac{228}{15}-\frac{20}{15}$$

Since \frac{228}{15} and \frac{20}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{228-20}{15}$$

Subtract 20 from 228 to get 208.

$$\frac{208}{15}$$

Factor

$$\frac{2 ^ {4} \cdot 13}{3 \cdot 5} = 13\frac{13}{15} = 13.866666666666667$$