Solve (.2)75+.2(78)+.2(76)+(.2)(81)+.2(84)

$$(.2)75+.2(78)+.2(76)+(.2)(81)+.2(84)$$

Evaluate

$$78.8$$

Solution Steps

Multiply 0.2 and 75 to get 15.

$$15+0.2\times 78+0.2\times 76+0.2\times 81+0.2\times 84$$

Multiply 0.2 and 78 to get 15.6.

$$15+15.6+0.2\times 76+0.2\times 81+0.2\times 84$$

Add 15 and 15.6 to get 30.6.

$$30.6+0.2\times 76+0.2\times 81+0.2\times 84$$

Multiply 0.2 and 76 to get 15.2.

$$30.6+15.2+0.2\times 81+0.2\times 84$$

Add 30.6 and 15.2 to get 45.8.

$$45.8+0.2\times 81+0.2\times 84$$

Multiply 0.2 and 81 to get 16.2.

$$45.8+16.2+0.2\times 84$$

Add 45.8 and 16.2 to get 62.

$$62+0.2\times 84$$

Multiply 0.2 and 84 to get 16.8.

$$62+16.8$$

Add 62 and 16.8 to get 78.8.

$$78.8$$

Factor

$$\frac{2 \cdot 197}{5} = 78\frac{4}{5} = 78.8$$