Solve 87/10+77/10

$$8 \frac { 7 } { 10 } + 7 \frac { 7 } { 10 }$$

Evaluate

$$\frac{82}{5}=16.4$$

Solution Steps

Multiply 8 and 10 to get 80.

$$\frac{80+7}{10}+\frac{7\times 10+7}{10}$$

Add 80 and 7 to get 87.

$$\frac{87}{10}+\frac{7\times 10+7}{10}$$

Multiply 7 and 10 to get 70.

$$\frac{87}{10}+\frac{70+7}{10}$$

Add 70 and 7 to get 77.

$$\frac{87}{10}+\frac{77}{10}$$

Since \frac{87}{10} and \frac{77}{10} have the same denominator, add them by adding their numerators.

$$\frac{87+77}{10}$$

Add 87 and 77 to get 164.

$$\frac{164}{10}$$

Reduce the fraction \frac{164}{10} to lowest terms by extracting and canceling out 2.

$$\frac{82}{5}$$

Factor

$$\frac{2 \cdot 41}{5} = 16\frac{2}{5} = 16.4$$