Solve 5769*(1-0.78)/0.78

$$5769 \times \frac{ (1-0.78) }{ 0.78 }$$

Evaluate

$$\frac{21153}{13}\approx 1627.153846154$$

Solution Steps

Subtract 0.78 from 1 to get 0.22.

$$5769\times \frac{0.22}{0.78}$$

Expand \frac{0.22}{0.78} by multiplying both numerator and the denominator by 100.

$$5769\times \frac{22}{78}$$

Reduce the fraction \frac{22}{78} to lowest terms by extracting and canceling out 2.

$$5769\times \frac{11}{39}$$

Express 5769\times \frac{11}{39} as a single fraction.

$$\frac{5769\times 11}{39}$$

Multiply 5769 and 11 to get 63459.

$$\frac{63459}{39}$$

Reduce the fraction \frac{63459}{39} to lowest terms by extracting and canceling out 3.

$$\frac{21153}{13}$$

Factor

$$\frac{3 \cdot 11 \cdot 641}{13} = 1627\frac{2}{13} = 1627.1538461538462$$