Solve (0.2*0.2+0.01*0.01)/0.401

$$( 0.2 \times 0.2 + 0.01 \times 0.01 ) / 0.401$$

Evaluate

$$0.1$$

Solution Steps

Multiply 0.2 and 0.2 to get 0.04.

$$\frac{0.04+0.01\times 0.01}{0.401}$$

Multiply 0.01 and 0.01 to get 0.0001.

$$\frac{0.04+0.0001}{0.401}$$

Add 0.04 and 0.0001 to get 0.0401.

$$\frac{0.0401}{0.401}$$

Expand \frac{0.0401}{0.401} by multiplying both numerator and the denominator by 10000.

$$\frac{401}{4010}$$

Reduce the fraction \frac{401}{4010} to lowest terms by extracting and canceling out 401.

$$\frac{1}{10}$$

Factor

$$\frac{1}{2 \cdot 5} = 0.1$$