Solve 104/5+(71/5-37/5)

$$10 \frac { 4 } { 5 } + ( 7 \frac { 1 } { 5 } - 3 \frac { 7 } { 5 } )$$

Evaluate

$$\frac{68}{5}=13.6$$

Solution Steps

Multiply 10 and 5 to get 50.

$$\frac{50+4}{5}+\frac{7\times 5+1}{5}-\frac{3\times 5+7}{5}$$

Add 50 and 4 to get 54.

$$\frac{54}{5}+\frac{7\times 5+1}{5}-\frac{3\times 5+7}{5}$$

Multiply 7 and 5 to get 35.

$$\frac{54}{5}+\frac{35+1}{5}-\frac{3\times 5+7}{5}$$

Add 35 and 1 to get 36.

$$\frac{54}{5}+\frac{36}{5}-\frac{3\times 5+7}{5}$$

Since \frac{54}{5} and \frac{36}{5} have the same denominator, add them by adding their numerators.

$$\frac{54+36}{5}-\frac{3\times 5+7}{5}$$

Add 54 and 36 to get 90.

$$\frac{90}{5}-\frac{3\times 5+7}{5}$$

Divide 90 by 5 to get 18.

$$18-\frac{3\times 5+7}{5}$$

Multiply 3 and 5 to get 15.

$$18-\frac{15+7}{5}$$

Add 15 and 7 to get 22.

$$18-\frac{22}{5}$$

Convert 18 to fraction \frac{90}{5}.

$$\frac{90}{5}-\frac{22}{5}$$

Since \frac{90}{5} and \frac{22}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{90-22}{5}$$

Subtract 22 from 90 to get 68.

$$\frac{68}{5}$$

Factor

$$\frac{2 ^ {2} \cdot 17}{5} = 13\frac{3}{5} = 13.6$$