Solve 5*0.005+7*0.005+9*0.04+11*0.29+13*0.11+15*0.03+17*0.015+19*0.05=

$$5 \times 0.005+7 \times 0.005+9 \times 0.04+11 \times 0.29+13 \times 0.11+15 \times 0.03+17 \times 0.015+19 \times 0.05=$$

Evaluate

$$6.695$$

Solution Steps

Multiply 5 and 0.005 to get 0.025.

$$0.025+7\times 0.005+9\times 0.04+11\times 0.29+13\times 0.11+15\times 0.03+17\times 0.015+19\times 0.05$$

Multiply 7 and 0.005 to get 0.035.

$$0.025+0.035+9\times 0.04+11\times 0.29+13\times 0.11+15\times 0.03+17\times 0.015+19\times 0.05$$

Add 0.025 and 0.035 to get 0.06.

$$0.06+9\times 0.04+11\times 0.29+13\times 0.11+15\times 0.03+17\times 0.015+19\times 0.05$$

Multiply 9 and 0.04 to get 0.36.

$$0.06+0.36+11\times 0.29+13\times 0.11+15\times 0.03+17\times 0.015+19\times 0.05$$

Add 0.06 and 0.36 to get 0.42.

$$0.42+11\times 0.29+13\times 0.11+15\times 0.03+17\times 0.015+19\times 0.05$$

Multiply 11 and 0.29 to get 3.19.

$$0.42+3.19+13\times 0.11+15\times 0.03+17\times 0.015+19\times 0.05$$

Add 0.42 and 3.19 to get 3.61.

$$3.61+13\times 0.11+15\times 0.03+17\times 0.015+19\times 0.05$$

Multiply 13 and 0.11 to get 1.43.

$$3.61+1.43+15\times 0.03+17\times 0.015+19\times 0.05$$

Add 3.61 and 1.43 to get 5.04.

$$5.04+15\times 0.03+17\times 0.015+19\times 0.05$$

Multiply 15 and 0.03 to get 0.45.

$$5.04+0.45+17\times 0.015+19\times 0.05$$

Add 5.04 and 0.45 to get 5.49.

$$5.49+17\times 0.015+19\times 0.05$$

Multiply 17 and 0.015 to get 0.255.

$$5.49+0.255+19\times 0.05$$

Add 5.49 and 0.255 to get 5.745.

$$5.745+19\times 0.05$$

Multiply 19 and 0.05 to get 0.95.

$$5.745+0.95$$

Add 5.745 and 0.95 to get 6.695.

$$6.695$$

Factor

$$\frac{13 \cdot 103}{2 ^ {3} \cdot 5 ^ {2}} = 6\frac{139}{200} = 6.695$$