Solve 0.2*2.5+0.15left(4.2+2.5+2.5+2.5right)+0.1(4.4+3)

$$0.2 \times 2.5+0.15 \left( 4.2+2.5+2.5+2.5 \right) +0.1(4.4+3)$$

Evaluate

$$2.995$$

Solution Steps

Multiply 0.2 and 2.5 to get 0.5.

$$0.5+0.15\left(4.2+2.5+2.5+2.5\right)+0.1\left(4.4+3\right)$$

Add 4.2 and 2.5 to get 6.7.

$$0.5+0.15\left(6.7+2.5+2.5\right)+0.1\left(4.4+3\right)$$

Add 6.7 and 2.5 to get 9.2.

$$0.5+0.15\left(9.2+2.5\right)+0.1\left(4.4+3\right)$$

Add 9.2 and 2.5 to get 11.7.

$$0.5+0.15\times 11.7+0.1\left(4.4+3\right)$$

Multiply 0.15 and 11.7 to get 1.755.

$$0.5+1.755+0.1\left(4.4+3\right)$$

Add 0.5 and 1.755 to get 2.255.

$$2.255+0.1\left(4.4+3\right)$$

Add 4.4 and 3 to get 7.4.

$$2.255+0.1\times 7.4$$

Multiply 0.1 and 7.4 to get 0.74.

$$2.255+0.74$$

Add 2.255 and 0.74 to get 2.995.

$$2.995$$

Factor

$$\frac{599}{2 ^ {3} \cdot 5 ^ {2}} = 2\frac{199}{200} = 2.995$$