Solve 82/5-4/5+43/5

$$8 \frac { 2 } { 5 } - \frac { 4 } { 5 } + 4 \frac { 3 } { 5 }$$

Evaluate

$$\frac{61}{5}=12.2$$

Solution Steps

Multiply 8 and 5 to get 40.

$$\frac{40+2}{5}-\frac{4}{5}+\frac{4\times 5+3}{5}$$

Add 40 and 2 to get 42.

$$\frac{42}{5}-\frac{4}{5}+\frac{4\times 5+3}{5}$$

Since \frac{42}{5} and \frac{4}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{42-4}{5}+\frac{4\times 5+3}{5}$$

Subtract 4 from 42 to get 38.

$$\frac{38}{5}+\frac{4\times 5+3}{5}$$

Multiply 4 and 5 to get 20.

$$\frac{38}{5}+\frac{20+3}{5}$$

Add 20 and 3 to get 23.

$$\frac{38}{5}+\frac{23}{5}$$

Since \frac{38}{5} and \frac{23}{5} have the same denominator, add them by adding their numerators.

$$\frac{38+23}{5}$$

Add 38 and 23 to get 61.

$$\frac{61}{5}$$

Factor

$$\frac{61}{5} = 12\frac{1}{5} = 12.2$$