Solve 0.5*0.05/frac{1{2}*(0.05+0.25)}

$$\frac { 0.5 \times 0.05 } { \frac { 1 } { 2 } \times ( 0.05 + 0.25 ) }$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{0.05}{0.5^{0}\left(0.05+0.25\right)}$$

Calculate 0.5 to the power of 0 and get 1.

$$\frac{0.05}{1\left(0.05+0.25\right)}$$

Add 0.05 and 0.25 to get 0.3.

$$\frac{0.05}{1\times 0.3}$$

Multiply 1 and 0.3 to get 0.3.

$$\frac{0.05}{0.3}$$

Expand \frac{0.05}{0.3} by multiplying both numerator and the denominator by 100.

$$\frac{5}{30}$$

Reduce the fraction \frac{5}{30} to lowest terms by extracting and canceling out 5.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$