Solve 0.04*0.1/0.3^2*(0.2)^2

$$\frac { 0.04 \times 0.1 } { 0.3 ^ { 2 } \times ( 0.2 ) ^ { 2 } }$$

Evaluate

$$\frac{10}{9}\approx 1.111111111$$

Solution Steps

Multiply 0.04 and 0.1 to get 0.004.

$$\frac{0.004}{0.3^{2}\times 0.2^{2}}$$

Calculate 0.3 to the power of 2 and get 0.09.

$$\frac{0.004}{0.09\times 0.2^{2}}$$

Calculate 0.2 to the power of 2 and get 0.04.

$$\frac{0.004}{0.09\times 0.04}$$

Multiply 0.09 and 0.04 to get 0.0036.

$$\frac{0.004}{0.0036}$$

Expand \frac{0.004}{0.0036} by multiplying both numerator and the denominator by 10000.

$$\frac{40}{36}$$

Reduce the fraction \frac{40}{36} to lowest terms by extracting and canceling out 4.

$$\frac{10}{9}$$

Factor

$$\frac{2 \cdot 5}{3 ^ {2}} = 1\frac{1}{9} = 1.1111111111111112$$