Solve 17/10-5/6

$$\frac{ 17 }{ 10 } - \frac{ 5 }{ 6 }$$

Evaluate

$$\frac{13}{15}\approx 0.866666667$$

Solution Steps

Least common multiple of 10 and 6 is 30. Convert \frac{17}{10} and \frac{5}{6} to fractions with denominator 30.

$$\frac{51}{30}-\frac{25}{30}$$

Since \frac{51}{30} and \frac{25}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{51-25}{30}$$

Subtract 25 from 51 to get 26.

$$\frac{26}{30}$$

Reduce the fraction \frac{26}{30} to lowest terms by extracting and canceling out 2.

$$\frac{13}{15}$$

Factor

$$\frac{13}{3 \cdot 5} = 0.8666666666666667$$