Solve 11/10+71/10

$$1 \frac { 1 } { 10 } + 7 \frac { 1 } { 10 }$$

Evaluate

$$\frac{41}{5}=8.2$$

Solution Steps

Multiply 1 and 10 to get 10.

$$\frac{10+1}{10}+\frac{7\times 10+1}{10}$$

Add 10 and 1 to get 11.

$$\frac{11}{10}+\frac{7\times 10+1}{10}$$

Multiply 7 and 10 to get 70.

$$\frac{11}{10}+\frac{70+1}{10}$$

Add 70 and 1 to get 71.

$$\frac{11}{10}+\frac{71}{10}$$

Since \frac{11}{10} and \frac{71}{10} have the same denominator, add them by adding their numerators.

$$\frac{11+71}{10}$$

Add 11 and 71 to get 82.

$$\frac{82}{10}$$

Reduce the fraction \frac{82}{10} to lowest terms by extracting and canceling out 2.

$$\frac{41}{5}$$

Factor

$$\frac{41}{5} = 8\frac{1}{5} = 8.2$$