Solve (0,2)(0,1)+(0,1)^2/(0,2)^2-0,1

$$\frac { ( 0,2 ) ( 0,1 ) + ( 0,1 ) ^ { 2 } } { ( 0,2 ) ^ { 2 } - 0,1 }$$

Evaluate

$$-0,5$$

Solution Steps

Multiply 0,2 and 0,1 to get 0,02.

$$\frac{0,02+0,1^{2}}{0,2^{2}-0,1}$$

Calculate 0,1 to the power of 2 and get 0,01.

$$\frac{0,02+0,01}{0,2^{2}-0,1}$$

Add 0,02 and 0,01 to get 0,03.

$$\frac{0,03}{0,2^{2}-0,1}$$

Calculate 0,2 to the power of 2 and get 0,04.

$$\frac{0,03}{0,04-0,1}$$

Subtract 0,1 from 0,04 to get -0,06.

$$\frac{0,03}{-0,06}$$

Expand \frac{0,03}{-0,06} by multiplying both numerator and the denominator by 100.

$$\frac{3}{-6}$$

Reduce the fraction \frac{3}{-6} to lowest terms by extracting and canceling out 3.

$$-\frac{1}{2}$$

Factor

$$-0,5$$