Solve 65/6-41/4-2/3=

$$6 \frac { 5 } { 6 } - 4 \frac { 1 } { 4 } - \frac { 2 } { 3 } =$$

Evaluate

$$\frac{23}{12}\approx 1.916666667$$

Solution Steps

Multiply 6 and 6 to get 36.

$$\frac{36+5}{6}-\frac{4\times 4+1}{4}-\frac{2}{3}$$

Add 36 and 5 to get 41.

$$\frac{41}{6}-\frac{4\times 4+1}{4}-\frac{2}{3}$$

Multiply 4 and 4 to get 16.

$$\frac{41}{6}-\frac{16+1}{4}-\frac{2}{3}$$

Add 16 and 1 to get 17.

$$\frac{41}{6}-\frac{17}{4}-\frac{2}{3}$$

Least common multiple of 6 and 4 is 12. Convert \frac{41}{6} and \frac{17}{4} to fractions with denominator 12.

$$\frac{82}{12}-\frac{51}{12}-\frac{2}{3}$$

Since \frac{82}{12} and \frac{51}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{82-51}{12}-\frac{2}{3}$$

Subtract 51 from 82 to get 31.

$$\frac{31}{12}-\frac{2}{3}$$

Least common multiple of 12 and 3 is 12. Convert \frac{31}{12} and \frac{2}{3} to fractions with denominator 12.

$$\frac{31}{12}-\frac{8}{12}$$

Since \frac{31}{12} and \frac{8}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{31-8}{12}$$

Subtract 8 from 31 to get 23.

$$\frac{23}{12}$$

Factor

$$\frac{23}{2 ^ {2} \cdot 3} = 1\frac{11}{12} = 1.9166666666666667$$