Solve 14.4div(1-15%)

$$14.4 \div ( 1 - 15 \% )$$

Evaluate

$$\frac{288}{17}\approx 16.941176471$$

Solution Steps

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$\frac{14.4}{1-\frac{3}{20}}$$

Convert 1 to fraction \frac{20}{20}.

$$\frac{14.4}{\frac{20}{20}-\frac{3}{20}}$$

Since \frac{20}{20} and \frac{3}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14.4}{\frac{20-3}{20}}$$

Subtract 3 from 20 to get 17.

$$\frac{14.4}{\frac{17}{20}}$$

Divide 14.4 by \frac{17}{20} by multiplying 14.4 by the reciprocal of \frac{17}{20}.

$$14.4\times \frac{20}{17}$$

Convert decimal number 14.4 to fraction \frac{144}{10}. Reduce the fraction \frac{144}{10} to lowest terms by extracting and canceling out 2.

$$\frac{72}{5}\times \frac{20}{17}$$

Multiply \frac{72}{5} times \frac{20}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{72\times 20}{5\times 17}$$

Do the multiplications in the fraction \frac{72\times 20}{5\times 17}.

$$\frac{1440}{85}$$

Reduce the fraction \frac{1440}{85} to lowest terms by extracting and canceling out 5.

$$\frac{288}{17}$$

Factor

$$\frac{2 ^ {5} \cdot 3 ^ {2}}{17} = 16\frac{16}{17} = 16.941176470588236$$