Solve 31/4-11/6-2/3=

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

Evaluate

$$\frac{17}{12}\approx 1.416666667$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+1}{4}-\frac{1\times 6+1}{6}-\frac{2}{3}$$

Add 12 and 1 to get 13.

$$\frac{13}{4}-\frac{1\times 6+1}{6}-\frac{2}{3}$$

Multiply 1 and 6 to get 6.

$$\frac{13}{4}-\frac{6+1}{6}-\frac{2}{3}$$

Add 6 and 1 to get 7.

$$\frac{13}{4}-\frac{7}{6}-\frac{2}{3}$$

Least common multiple of 4 and 6 is 12. Convert \frac{13}{4} and \frac{7}{6} to fractions with denominator 12.

$$\frac{39}{12}-\frac{14}{12}-\frac{2}{3}$$

Since \frac{39}{12} and \frac{14}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{39-14}{12}-\frac{2}{3}$$

Subtract 14 from 39 to get 25.

$$\frac{25}{12}-\frac{2}{3}$$

Least common multiple of 12 and 3 is 12. Convert \frac{25}{12} and \frac{2}{3} to fractions with denominator 12.

$$\frac{25}{12}-\frac{8}{12}$$

Since \frac{25}{12} and \frac{8}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-8}{12}$$

Subtract 8 from 25 to get 17.

$$\frac{17}{12}$$

Factor

$$\frac{17}{2 ^ {2} \cdot 3} = 1\frac{5}{12} = 1.4166666666666667$$