Solve 93/6+22/6=

$$9 \frac { 3 } { 6 } + 2 \frac { 2 } { 6 } =$$

Evaluate

$$\frac{71}{6}\approx 11.833333333$$

Solution Steps

Multiply 9 and 6 to get 54.

$$\frac{54+3}{6}+\frac{2\times 6+2}{6}$$

Add 54 and 3 to get 57.

$$\frac{57}{6}+\frac{2\times 6+2}{6}$$

Reduce the fraction \frac{57}{6} to lowest terms by extracting and canceling out 3.

$$\frac{19}{2}+\frac{2\times 6+2}{6}$$

Multiply 2 and 6 to get 12.

$$\frac{19}{2}+\frac{12+2}{6}$$

Add 12 and 2 to get 14.

$$\frac{19}{2}+\frac{14}{6}$$

Reduce the fraction \frac{14}{6} to lowest terms by extracting and canceling out 2.

$$\frac{19}{2}+\frac{7}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{19}{2} and \frac{7}{3} to fractions with denominator 6.

$$\frac{57}{6}+\frac{14}{6}$$

Since \frac{57}{6} and \frac{14}{6} have the same denominator, add them by adding their numerators.

$$\frac{57+14}{6}$$

Add 57 and 14 to get 71.

$$\frac{71}{6}$$

Factor

$$\frac{71}{2 \cdot 3} = 11\frac{5}{6} = 11.833333333333334$$