Solve 0.1x+0.1*0.086x/0.1x+0.086x

$$\frac{ 0.1x+0.1 \cdot 0.086x }{ 0.1x+0.086x }$$

Evaluate

$$\frac{181}{310}\approx 0.583870968$$

Solution Steps

Multiply 0.1 and 0.086 to get 0.0086.

$$\frac{0.1x+0.0086x}{0.1x+0.086x}$$

Combine 0.1x and 0.0086x to get 0.1086x.

$$\frac{0.1086x}{0.1x+0.086x}$$

Combine 0.1x and 0.086x to get 0.186x.

$$\frac{0.1086x}{0.186x}$$

Cancel out x in both numerator and denominator.

$$\frac{0.1086}{0.186}$$

Expand \frac{0.1086}{0.186} by multiplying both numerator and the denominator by 10000.

$$\frac{1086}{1860}$$

Reduce the fraction \frac{1086}{1860} to lowest terms by extracting and canceling out 6.

$$\frac{181}{310}$$

Factor

$$\frac{181}{2 \cdot 5 \cdot 31} = 0.5838709677419355$$