Solve 27/9-5/6

$$2 \frac { 7 } { 9 } - \frac { 5 } { 6 }$$

Evaluate

$$\frac{35}{18}\approx 1.944444444$$

Solution Steps

Multiply 2 and 9 to get 18.

$$\frac{18+7}{9}-\frac{5}{6}$$

Add 18 and 7 to get 25.

$$\frac{25}{9}-\frac{5}{6}$$

Least common multiple of 9 and 6 is 18. Convert \frac{25}{9} and \frac{5}{6} to fractions with denominator 18.

$$\frac{50}{18}-\frac{15}{18}$$

Since \frac{50}{18} and \frac{15}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{50-15}{18}$$

Subtract 15 from 50 to get 35.

$$\frac{35}{18}$$

Factor

$$\frac{5 \cdot 7}{2 \cdot 3 ^ {2}} = 1\frac{17}{18} = 1.9444444444444444$$