Solve 41/6-1/2-2=

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

Evaluate

$$\frac{5}{3}\approx 1.666666667$$

Solution Steps

Multiply 4 and 6 to get 24.

$$\frac{24+1}{6}-\frac{1}{2}-2$$

Add 24 and 1 to get 25.

$$\frac{25}{6}-\frac{1}{2}-2$$

Least common multiple of 6 and 2 is 6. Convert \frac{25}{6} and \frac{1}{2} to fractions with denominator 6.

$$\frac{25}{6}-\frac{3}{6}-2$$

Since \frac{25}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-3}{6}-2$$

Subtract 3 from 25 to get 22.

$$\frac{22}{6}-2$$

Reduce the fraction \frac{22}{6} to lowest terms by extracting and canceling out 2.

$$\frac{11}{3}-2$$

Convert 2 to fraction \frac{6}{3}.

$$\frac{11}{3}-\frac{6}{3}$$

Since \frac{11}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-6}{3}$$

Subtract 6 from 11 to get 5.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$