Solve 0,2^2+2*0,06+0,3^2/0,4*0,5-0,5^2

$$\frac { 0,2 ^ { 2 } + 2 \cdot 0,06 + 0,3 ^ { 2 } } { 0,4 \cdot 0,5 - 0,5 ^ { 2 } }$$

Evaluate

$$0,6$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\frac{0\times 4+2\times 0,06+0\times 3^{2}}{0,4\times 0,5-0\times 5^{2}}$$

Multiply 0 and 4 to get 0.

$$\frac{0+2\times 0,06+0\times 3^{2}}{0,4\times 0,5-0\times 5^{2}}$$

Multiply 2 and 0,06 to get 0,12.

$$\frac{0+0,12+0\times 3^{2}}{0,4\times 0,5-0\times 5^{2}}$$

Add 0 and 0,12 to get 0,12.

$$\frac{0,12+0\times 3^{2}}{0,4\times 0,5-0\times 5^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{0,12+0\times 9}{0,4\times 0,5-0\times 5^{2}}$$

Multiply 0 and 9 to get 0.

$$\frac{0,12+0}{0,4\times 0,5-0\times 5^{2}}$$

Add 0,12 and 0 to get 0,12.

$$\frac{0,12}{0,4\times 0,5-0\times 5^{2}}$$

Multiply 0,4 and 0,5 to get 0,2.

$$\frac{0,12}{0,2-0\times 5^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{0,12}{0,2-0\times 25}$$

Multiply 0 and 25 to get 0.

$$\frac{0,12}{0,2-0}$$

Subtract 0 from 0,2 to get 0,2.

$$\frac{0,12}{0,2}$$

Expand \frac{0,12}{0,2} by multiplying both numerator and the denominator by 100.

$$\frac{12}{20}$$

Reduce the fraction \frac{12}{20} to lowest terms by extracting and canceling out 4.

$$\frac{3}{5}$$

Factor

$$\frac{3}{5} = 0.6$$