Solve 3/2+1-6/9+12=

$$\frac { 3 } { 2 } + 1 - \frac { 6 } { 9 } + 12 =$$

Evaluate

$$\frac{83}{6}\approx 13.833333333$$

Solution Steps

Convert 1 to fraction \frac{2}{2}.

$$\frac{3}{2}+\frac{2}{2}-\frac{6}{9}+12$$

Since \frac{3}{2} and \frac{2}{2} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{2}-\frac{6}{9}+12$$

Add 3 and 2 to get 5.

$$\frac{5}{2}-\frac{6}{9}+12$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$\frac{5}{2}-\frac{2}{3}+12$$

Least common multiple of 2 and 3 is 6. Convert \frac{5}{2} and \frac{2}{3} to fractions with denominator 6.

$$\frac{15}{6}-\frac{4}{6}+12$$

Since \frac{15}{6} and \frac{4}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-4}{6}+12$$

Subtract 4 from 15 to get 11.

$$\frac{11}{6}+12$$

Convert 12 to fraction \frac{72}{6}.

$$\frac{11}{6}+\frac{72}{6}$$

Since \frac{11}{6} and \frac{72}{6} have the same denominator, add them by adding their numerators.

$$\frac{11+72}{6}$$

Add 11 and 72 to get 83.

$$\frac{83}{6}$$

Factor

$$\frac{83}{2 \cdot 3} = 13\frac{5}{6} = 13.833333333333334$$