Solve 115/6+157/9+162/3

$$11 \frac { 5 } { 6 } + 15 \frac { 7 } { 9 } + 16 \frac { 2 } { 3 }$$

Evaluate

$$\frac{797}{18}\approx 44.277777778$$

Solution Steps

Multiply 11 and 6 to get 66.

$$\frac{66+5}{6}+\frac{15\times 9+7}{9}+\frac{16\times 3+2}{3}$$

Add 66 and 5 to get 71.

$$\frac{71}{6}+\frac{15\times 9+7}{9}+\frac{16\times 3+2}{3}$$

Multiply 15 and 9 to get 135.

$$\frac{71}{6}+\frac{135+7}{9}+\frac{16\times 3+2}{3}$$

Add 135 and 7 to get 142.

$$\frac{71}{6}+\frac{142}{9}+\frac{16\times 3+2}{3}$$

Least common multiple of 6 and 9 is 18. Convert \frac{71}{6} and \frac{142}{9} to fractions with denominator 18.

$$\frac{213}{18}+\frac{284}{18}+\frac{16\times 3+2}{3}$$

Since \frac{213}{18} and \frac{284}{18} have the same denominator, add them by adding their numerators.

$$\frac{213+284}{18}+\frac{16\times 3+2}{3}$$

Add 213 and 284 to get 497.

$$\frac{497}{18}+\frac{16\times 3+2}{3}$$

Multiply 16 and 3 to get 48.

$$\frac{497}{18}+\frac{48+2}{3}$$

Add 48 and 2 to get 50.

$$\frac{497}{18}+\frac{50}{3}$$

Least common multiple of 18 and 3 is 18. Convert \frac{497}{18} and \frac{50}{3} to fractions with denominator 18.

$$\frac{497}{18}+\frac{300}{18}$$

Since \frac{497}{18} and \frac{300}{18} have the same denominator, add them by adding their numerators.

$$\frac{497+300}{18}$$

Add 497 and 300 to get 797.

$$\frac{797}{18}$$

Factor

$$\frac{797}{2 \cdot 3 ^ {2}} = 44\frac{5}{18} = 44.27777777777778$$