Solve 1/6-2+9

$$\frac{ 1 }{ 6 } -2+9$$

Evaluate

$$\frac{43}{6}\approx 7.166666667$$

Solution Steps

Convert 2 to fraction \frac{12}{6}.

$$\frac{1}{6}-\frac{12}{6}+9$$

Since \frac{1}{6} and \frac{12}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-12}{6}+9$$

Subtract 12 from 1 to get -11.

$$-\frac{11}{6}+9$$

Convert 9 to fraction \frac{54}{6}.

$$-\frac{11}{6}+\frac{54}{6}$$

Since -\frac{11}{6} and \frac{54}{6} have the same denominator, add them by adding their numerators.

$$\frac{-11+54}{6}$$

Add -11 and 54 to get 43.

$$\frac{43}{6}$$

Factor

$$\frac{43}{2 \cdot 3} = 7\frac{1}{6} = 7.166666666666667$$