Solve 5/3-3/5-1/10

$$\frac{ 5 }{ 3 } - \frac{ 3 }{ 5 } - \frac{ 1 }{ 10 }$$

Evaluate

$$\frac{29}{30}\approx 0.966666667$$

Solution Steps

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

$$\frac{25}{15}-\frac{9}{15}-\frac{1}{10}$$

Since \frac{25}{15} and \frac{9}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-9}{15}-\frac{1}{10}$$

Subtract 9 from 25 to get 16.

$$\frac{16}{15}-\frac{1}{10}$$

Least common multiple of 15 and 10 is 30. Convert \frac{16}{15} and \frac{1}{10} to fractions with denominator 30.

$$\frac{32}{30}-\frac{3}{30}$$

Since \frac{32}{30} and \frac{3}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{32-3}{30}$$

Subtract 3 from 32 to get 29.

$$\frac{29}{30}$$

Factor

$$\frac{29}{2 \cdot 3 \cdot 5} = 0.9666666666666667$$