Solve 163/9-10-2/5

$$16 \frac { 3 } { 9 } - 10 - \frac { 2 } { 5 }$$

Evaluate

$$\frac{89}{15}\approx 5.933333333$$

Solution Steps

Multiply 16 and 9 to get 144.

$$\frac{144+3}{9}-10-\frac{2}{5}$$

Add 144 and 3 to get 147.

$$\frac{147}{9}-10-\frac{2}{5}$$

Reduce the fraction \frac{147}{9} to lowest terms by extracting and canceling out 3.

$$\frac{49}{3}-10-\frac{2}{5}$$

Convert 10 to fraction \frac{30}{3}.

$$\frac{49}{3}-\frac{30}{3}-\frac{2}{5}$$

Since \frac{49}{3} and \frac{30}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{49-30}{3}-\frac{2}{5}$$

Subtract 30 from 49 to get 19.

$$\frac{19}{3}-\frac{2}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{19}{3} and \frac{2}{5} to fractions with denominator 15.

$$\frac{95}{15}-\frac{6}{15}$$

Since \frac{95}{15} and \frac{6}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{95-6}{15}$$

Subtract 6 from 95 to get 89.

$$\frac{89}{15}$$

Factor

$$\frac{89}{3 \cdot 5} = 5\frac{14}{15} = 5.933333333333334$$