Solve (8.2-1.4+2.2):0.3-(1.4+0.9*0.1)

$$( 8.2 - 1.4 + 2.2 ) : 0.3 - ( 1.4 + 0.9 \cdot 0.1 )$$

Evaluate

$$28.51$$

Solution Steps

Subtract 1.4 from 8.2 to get 6.8.

$$\frac{6.8+2.2}{0.3}-\left(1.4+0.9\times 0.1\right)$$

Add 6.8 and 2.2 to get 9.

$$\frac{9}{0.3}-\left(1.4+0.9\times 0.1\right)$$

Expand \frac{9}{0.3} by multiplying both numerator and the denominator by 10.

$$\frac{90}{3}-\left(1.4+0.9\times 0.1\right)$$

Divide 90 by 3 to get 30.

$$30-\left(1.4+0.9\times 0.1\right)$$

Multiply 0.9 and 0.1 to get 0.09.

$$30-\left(1.4+0.09\right)$$

Add 1.4 and 0.09 to get 1.49.

$$30-1.49$$

Subtract 1.49 from 30 to get 28.51.

$$28.51$$

Factor

$$\frac{2851}{2 ^ {2} \cdot 5 ^ {2}} = 28\frac{51}{100} = 28.51$$