Solve 0.3*0.7*0.4+0.3*0.3*0.6+0.7*0.7*0.6

$$0.3 \times 0.7 \times 0.4+0.3 \times 0.3 \times 0.6+0.7 \times 0.7 \times 0.6$$

Evaluate

$$0.432$$

Solution Steps

Multiply 0.3 and 0.7 to get 0.21.

$$0.21\times 0.4+0.3\times 0.3\times 0.6+0.7\times 0.7\times 0.6$$

Multiply 0.21 and 0.4 to get 0.084.

$$0.084+0.3\times 0.3\times 0.6+0.7\times 0.7\times 0.6$$

Multiply 0.3 and 0.3 to get 0.09.

$$0.084+0.09\times 0.6+0.7\times 0.7\times 0.6$$

Multiply 0.09 and 0.6 to get 0.054.

$$0.084+0.054+0.7\times 0.7\times 0.6$$

Add 0.084 and 0.054 to get 0.138.

$$0.138+0.7\times 0.7\times 0.6$$

Multiply 0.7 and 0.7 to get 0.49.

$$0.138+0.49\times 0.6$$

Multiply 0.49 and 0.6 to get 0.294.

$$0.138+0.294$$

Add 0.138 and 0.294 to get 0.432.

$$0.432$$

Factor

$$\frac{2 \cdot 3 ^ {3}}{5 ^ {3}} = 0.432$$