Solve 25/12-5/6+17/18

$$\frac { 25 } { 12 } - \frac { 5 } { 6 } + \frac { 17 } { 18 }$$

Evaluate

$$\frac{79}{36}\approx 2.194444444$$

Solution Steps

Least common multiple of 12 and 6 is 12. Convert \frac{25}{12} and \frac{5}{6} to fractions with denominator 12.

$$\frac{25}{12}-\frac{10}{12}+\frac{17}{18}$$

Since \frac{25}{12} and \frac{10}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-10}{12}+\frac{17}{18}$$

Subtract 10 from 25 to get 15.

$$\frac{15}{12}+\frac{17}{18}$$

Reduce the fraction \frac{15}{12} to lowest terms by extracting and canceling out 3.

$$\frac{5}{4}+\frac{17}{18}$$

Least common multiple of 4 and 18 is 36. Convert \frac{5}{4} and \frac{17}{18} to fractions with denominator 36.

$$\frac{45}{36}+\frac{34}{36}$$

Since \frac{45}{36} and \frac{34}{36} have the same denominator, add them by adding their numerators.

$$\frac{45+34}{36}$$

Add 45 and 34 to get 79.

$$\frac{79}{36}$$

Factor

$$\frac{79}{2 ^ {2} \cdot 3 ^ {2}} = 2\frac{7}{36} = 2.1944444444444446$$