Solve 17/15-1/10+4/30=

$$\frac{ 17 }{ 15 } - \frac{ 1 }{ 10 } + \frac{ 4 }{ 30 } =$$

Evaluate

$$\frac{7}{6}\approx 1.166666667$$

Solution Steps

Least common multiple of 15 and 10 is 30. Convert \frac{17}{15} and \frac{1}{10} to fractions with denominator 30.

$$\frac{34}{30}-\frac{3}{30}+\frac{4}{30}$$

Since \frac{34}{30} and \frac{3}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{34-3}{30}+\frac{4}{30}$$

Subtract 3 from 34 to get 31.

$$\frac{31}{30}+\frac{4}{30}$$

Since \frac{31}{30} and \frac{4}{30} have the same denominator, add them by adding their numerators.

$$\frac{31+4}{30}$$

Add 31 and 4 to get 35.

$$\frac{35}{30}$$

Reduce the fraction \frac{35}{30} to lowest terms by extracting and canceling out 5.

$$\frac{7}{6}$$

Factor

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1.1666666666666667$$