Solve (12/5-3/18)

$$( \frac{ 12 }{ 5 } - \frac{ 3 }{ 18 } )$$

Evaluate

$$\frac{67}{30}\approx 2.233333333$$

Solution Steps

Reduce the fraction \frac{3}{18} to lowest terms by extracting and canceling out 3.

$$\frac{12}{5}-\frac{1}{6}$$

Least common multiple of 5 and 6 is 30. Convert \frac{12}{5} and \frac{1}{6} to fractions with denominator 30.

$$\frac{72}{30}-\frac{5}{30}$$

Since \frac{72}{30} and \frac{5}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{72-5}{30}$$

Subtract 5 from 72 to get 67.

$$\frac{67}{30}$$

Factor

$$\frac{67}{2 \cdot 3 \cdot 5} = 2\frac{7}{30} = 2.2333333333333334$$