Solve 0.2*0.2+0.02*0.02-0.4*0.02/0.36=

$$\frac { 0.2 \times 0.2 + 0.02 \times 0.02 - 0.4 \times 0.02 } { 0.36 } =$$

Evaluate

$$0.09$$

Solution Steps

Multiply 0.2 and 0.2 to get 0.04.

$$\frac{0.04+0.02\times 0.02-0.4\times 0.02}{0.36}$$

Multiply 0.02 and 0.02 to get 0.0004.

$$\frac{0.04+0.0004-0.4\times 0.02}{0.36}$$

Add 0.04 and 0.0004 to get 0.0404.

$$\frac{0.0404-0.4\times 0.02}{0.36}$$

Multiply 0.4 and 0.02 to get 0.008.

$$\frac{0.0404-0.008}{0.36}$$

Subtract 0.008 from 0.0404 to get 0.0324.

$$\frac{0.0324}{0.36}$$

Expand \frac{0.0324}{0.36} by multiplying both numerator and the denominator by 10000.

$$\frac{324}{3600}$$

Reduce the fraction \frac{324}{3600} to lowest terms by extracting and canceling out 36.

$$\frac{9}{100}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2} \cdot 5 ^ {2}} = 0.09$$