Solve 0.8-0.02/0.8-0.2

$$\frac{ 0.8-0.02 }{ 0.8-0.2 }$$

Evaluate

$$1.3$$

Solution Steps

Subtract 0.02 from 0.8 to get 0.78.

$$\frac{0.78}{0.8-0.2}$$

Subtract 0.2 from 0.8 to get 0.6.

$$\frac{0.78}{0.6}$$

Expand \frac{0.78}{0.6} by multiplying both numerator and the denominator by 100.

$$\frac{78}{60}$$

Reduce the fraction \frac{78}{60} to lowest terms by extracting and canceling out 6.

$$\frac{13}{10}$$

Factor

$$\frac{13}{2 \cdot 5} = 1\frac{3}{10} = 1.3$$