Solve 0.8/0.8+2.8100

$$\frac{ 0.8 }{ 0.8+2.8 } 100$$

Evaluate

$$\frac{200}{9}\approx 22.222222222$$

Solution Steps

Add 0.8 and 2.8 to get 3.6.

$$\frac{0.8}{3.6}\times 100$$

Expand \frac{0.8}{3.6} by multiplying both numerator and the denominator by 10.

$$\frac{8}{36}\times 100$$

Reduce the fraction \frac{8}{36} to lowest terms by extracting and canceling out 4.

$$\frac{2}{9}\times 100$$

Express \frac{2}{9}\times 100 as a single fraction.

$$\frac{2\times 100}{9}$$

Multiply 2 and 100 to get 200.

$$\frac{200}{9}$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2}}{3 ^ {2}} = 22\frac{2}{9} = 22.22222222222222$$