Solve 1/12+[1/12+4]

$$\frac { 1 } { 12 } + [ \frac { 1 } { 12 } + 4 ]$$

Evaluate

$$\frac{25}{6}\approx 4.166666667$$

Solution Steps

Since \frac{1}{12} and \frac{1}{12} have the same denominator, add them by adding their numerators.

$$\frac{1+1}{12}+4$$

Add 1 and 1 to get 2.

$$\frac{2}{12}+4$$

Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.

$$\frac{1}{6}+4$$

Convert 4 to fraction \frac{24}{6}.

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

Since \frac{1}{6} and \frac{24}{6} have the same denominator, add them by adding their numerators.

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

Add 1 and 24 to get 25.

$$\frac{25}{6}$$

Factor

$$\frac{5 ^ {2}}{2 \cdot 3} = 4\frac{1}{6} = 4.166666666666667$$