Solve 213/5+314/5-282/5

$$21 \frac { 3 } { 5 } + 31 \frac { 4 } { 5 } - 28 \frac { 2 } { 5 }$$

Evaluate

$$25$$

Solution Steps

Multiply 21 and 5 to get 105.

$$\frac{105+3}{5}+\frac{31\times 5+4}{5}-\frac{28\times 5+2}{5}$$

Add 105 and 3 to get 108.

$$\frac{108}{5}+\frac{31\times 5+4}{5}-\frac{28\times 5+2}{5}$$

Multiply 31 and 5 to get 155.

$$\frac{108}{5}+\frac{155+4}{5}-\frac{28\times 5+2}{5}$$

Add 155 and 4 to get 159.

$$\frac{108}{5}+\frac{159}{5}-\frac{28\times 5+2}{5}$$

Since \frac{108}{5} and \frac{159}{5} have the same denominator, add them by adding their numerators.

$$\frac{108+159}{5}-\frac{28\times 5+2}{5}$$

Add 108 and 159 to get 267.

$$\frac{267}{5}-\frac{28\times 5+2}{5}$$

Multiply 28 and 5 to get 140.

$$\frac{267}{5}-\frac{140+2}{5}$$

Add 140 and 2 to get 142.

$$\frac{267}{5}-\frac{142}{5}$$

Since \frac{267}{5} and \frac{142}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{267-142}{5}$$

Subtract 142 from 267 to get 125.

$$\frac{125}{5}$$

Divide 125 by 5 to get 25.

$$25$$

Factor

$$5^{2}$$