Solve 134/11+273/11+822/11

$$13 \frac { 4 } { 11 } + 27 \frac { 3 } { 11 } + 82 \frac { 2 } { 11 }$$

Evaluate

$$\frac{1351}{11}\approx 122.818181818$$

Solution Steps

Multiply 13 and 11 to get 143.

$$\frac{143+4}{11}+\frac{27\times 11+3}{11}+\frac{82\times 11+2}{11}$$

Add 143 and 4 to get 147.

$$\frac{147}{11}+\frac{27\times 11+3}{11}+\frac{82\times 11+2}{11}$$

Multiply 27 and 11 to get 297.

$$\frac{147}{11}+\frac{297+3}{11}+\frac{82\times 11+2}{11}$$

Add 297 and 3 to get 300.

$$\frac{147}{11}+\frac{300}{11}+\frac{82\times 11+2}{11}$$

Since \frac{147}{11} and \frac{300}{11} have the same denominator, add them by adding their numerators.

$$\frac{147+300}{11}+\frac{82\times 11+2}{11}$$

Add 147 and 300 to get 447.

$$\frac{447}{11}+\frac{82\times 11+2}{11}$$

Multiply 82 and 11 to get 902.

$$\frac{447}{11}+\frac{902+2}{11}$$

Add 902 and 2 to get 904.

$$\frac{447}{11}+\frac{904}{11}$$

Since \frac{447}{11} and \frac{904}{11} have the same denominator, add them by adding their numerators.

$$\frac{447+904}{11}$$

Add 447 and 904 to get 1351.

$$\frac{1351}{11}$$

Factor

$$\frac{7 \cdot 193}{11} = 122\frac{9}{11} = 122.81818181818181$$