Solve 9/5-2/4-1/3

$$\frac{ 9 }{ 5 } - \frac{ 2 }{ 4 } - \frac{ 1 }{ 3 }$$

Evaluate

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

Solution Steps

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{9}{5}-\frac{1}{2}-\frac{1}{3}$$

Least common multiple of 5 and 2 is 10. Convert \frac{9}{5} and \frac{1}{2} to fractions with denominator 10.

$$\frac{18}{10}-\frac{5}{10}-\frac{1}{3}$$

Since \frac{18}{10} and \frac{5}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18-5}{10}-\frac{1}{3}$$

Subtract 5 from 18 to get 13.

$$\frac{13}{10}-\frac{1}{3}$$

Least common multiple of 10 and 3 is 30. Convert \frac{13}{10} and \frac{1}{3} to fractions with denominator 30.

$$\frac{39}{30}-\frac{10}{30}$$

Since \frac{39}{30} and \frac{10}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{39-10}{30}$$

Subtract 10 from 39 to get 29.

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

Factor

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